Guillermo P. Curbera
Professor of Mathematics
Departamento
de Análisis Matemático
Facultad de Matemáticas
Universidad de Sevilla
Calle Tarfia s/n
Sevilla 41012, Spain
Universidad de Sevilla
Edificio Celestino Mutis
Avenida de Reina Mercedes s/n
Sevilla 41012, Spain
Phone: +34-95-455-7995
Fax: +34-95-455-7972
E-mail: curbera@us.es
Real Sociedad Matemática
Española RSME
Editor General of the Society, 2006-2009
International Mathematical Union IMU
Curator of the Archive of the IMU,
2007-2020
Executive Committee of the
International Commission
on the History of Mathematics, 2022-2026
Circolo Matematico di Palermo (with a beautiful history)
The spacecraft Jules Verne disintegrating while re-entering the Earth's
atmosphere over the Pacific Ocean
Research interests
Function spaces, operators, measures, and their combinations
CV
Strategic Network in Mathematics
(Red estratégica en
matemáticas)
Socio-economic
impact of mathematical research and mathematical technology in Spain
Coordinator of the report
Libro
Blanco de las Matemáticas
Real Sociedad Matemática
Española & Fundación Areces
Co-editor
9th European Congress of
Mathematics, Sevilla 2024
Organizing Committee
MAPS:
Seville’s Cartographic Heritage from the 15th to the 18th Centuries
Exhibition organized on occasion of
the 9th European Congress of Mathematics
in Seville, June-July 2024
Publications
Measure theoretic aspects of the
finite Hilbert transform
Guillermo P. Curbera, Susumu
Okada and Werner J. Ricker
Mathematische Nachrichten,
to appear.
The finite Hilbert transform acting on (-1,1)
Guillermo P. Curbera, Susumu
Okada and Werner J. Ricker
Proceedings of the 28th International Conference on Operator
Theory held in Timisoara, Romania, July 2022, to appear.
The finite Hilbert transform acting in the Zygmund space
LlogL
Guillermo P. Curbera, Susumu
Okada and Werner J. Ricker
Annali della Scuola Normale Superiore di Pisa,
to appear.
A
note on extreme points of the unit
ball of Hardy-Lorentz spaces
Javier Carrillo-Alanís, Guillermo
P. Curbera
Proceedings of the American Mathematical Society, 152 (2024) 2551-2554.
Symmetric
finite representability of lp spaces in rearrangement
invariant spaces on [0,1]
Serguei V. Astashkin and
Guillermo P. Curbera
Revista Matemática
Complutense, 37 (2024) 413-434.
Convolution operators in dual Cesàro spaces
Guillermo P. Curbera and Werner J. Ricker
Journal of Mathematical Analysis and Applications, 519 (2023) 126838.
Fine
spectra and compactness of generalized Cesàro operators in Banach lattices in
CN0
Guillermo P. Curbera and Werner J. Ricker
Journal of Mathematical Analysis and Applications, 507 (2022)
125854.
Rosenthal’s
space revisited
Serguei V. Astashkin and
Guillermo P. Curbera
Studia Mathematica, 262 (2022) 197-224.
Non-extendability of the finite Hilbert transform
Guillermo P. Curbera, Susumu Okada and Werner J.
Ricker
Monatshefte für Mathematik, 195 (2021) 649-657.
Fine
spectra of the finite Hilbert transform in function spaces
Guillermo P. Curbera, Susumu Okada and Werner J.
Ricker
Advances in Mathematics, 380
(2021) 107597.
To the memory of Joe Diestel and his
mathematical legacy
Guillermo P. Curbera (contributor)
Quaestiones Mathematicae, 43 (2020) 593-580.
Special issue dedicated to the
memory of Joe Diestel.
Extension and
integral representation of the finite Hilbert transform in rearrangement invariant spaces
Guillermo P. Curbera, Susumu Okada and Werner J.
Ricker
Quaestiones Mathematicae, 43 (2020) 783-812.
Special issue dedicated to the
memory of Joe Diestel.
Inversion and extension of the finite Hilbert transform on (-1,1)
Guillermo P. Curbera, Susumu Okada and Werner J.
Ricker
Annali di Matematica Pura ed Applicata, 198 (2019) 1835-1860.
The Cesàro
space of Dirichlet series and its multiplier algebra
Jorge
Bueno-Contreras, Guillermo P. Curbera and Olvido Delgado
Journal of Mathematical
Analysis and Applications, 475 (2019)
1448-1471.
Invariance
properties of Wronskian type determinants of classical and classical discrete
orthogonal polynomials
Guillermo P.
Curbera and Antonio J. Durán
Journal of Mathematical
Analysis and Applications, 474 (2019)
748-764.
Tribute to Joe Diestel (1943-2017)
Richard Aron (Coordinating Editor), Guillermo P. Curbera (contributor)
Notices of the American Mathematical Society 65 (2018) 845-847.
Random Unconditional Convergence and Divergence in Banach spaces close to L^1
Serguei V. Astashkin and
Guillermo P. Curbera
Revista Matemática
Complutense, 31 (2018) 351-377.
Multipliers for spaces of unconditional series
in the Hardy spaces Hp(D)
Guillermo P. Curbera and Werner J. Ricker
Ulmer Seminare, 20 (2016-2017)
81-83.
The weak Banach-Saks property for function spaces
Guillermo P. Curbera and Werner J. Ricker
Revista de la Real Academia de Ciencias Exactas, Físicas y
Naturales. Serie A. Matemáticas,
111 (2017) 657-671.
On the Radon-Nikodym property in function spaces
Guillermo P. Curbera and Werner J. Ricker
Proceedings of the American Mathematical Society, 145 (2017)
617-626.
Abstract Cesàro spaces:
Integral representations
Guillermo P. Curbera and Werner J. Ricker
Journal of Mathematical Analysis and Applications, 441 (2016)
25-44.
On the existence of RUC systems in
rearrangement invariant spaces
Serguei V. Astashkin,
Guillermo P. Curbera and Konstantin E. Tikhomirov
Mathematische Nachrichten, 289 (2016)
175-186.
The Cesàro operator
and unconditional Taylor series in Hardy spaces
Guillermo P. Curbera and Werner J. Ricker
Integral Equations and Operator Theory, 83 (2015)
179-195.
Local Khintchine inequality
in rearrangement invariant spaces
Serguei V. Astashkin and
Guillermo P. Curbera
Annali di Matematica Pura ed Applicata, 194 (2015) 619-643.
Solid extensions of the Cesàro operator on lp and
c0
Guillermo P. Curbera and Werner J. Ricker
Integral Equations and Operator Theory, 80 (2014)
61-77.
A weighted Khintchine inequality
Serguei V. Astashkin and
Guillermo P. Curbera
Revista Matemática Iberoamericana, 30 (2014) 237-246.
A Banach function space X
for which all operators from lp to
X are compact
Guillermo P. Curbera and Luis Rodríguez Piazza
Functiones et Approximatio, 50 (2014)
233-249
Special issue dedicated to L. Drewnowski on the occasion of
his 70th birthday.
Guillermo P. Curbera
In: Banach and Function Spaces IV (ISBFS 2012)
Eds: M. Kato, L. Maligranda, T.
Suzuki.
Yokohama Publishers (Yokohama, 2014) 29-48.
ISBN: 978-4-946552-48-9.
Solid extensions of the Cesàro operator on Hardy space H2(D)
Guillermo P. Curbera and Werner J. Ricker
Journal of Mathematical Analysis and Applications, 407 (2013)
387-397.
A feature of averaging
Guillermo P. Curbera and Werner J. Ricker
Integral Equations and Operator Theory, 76 (2013)
447-449.
Spectrum of the Cesàro operator in lp
Guillermo P. Curbera and Werner J. Ricker
Archiv der Mathematik, 100 (2013)
267-271.
Sobolev type inequalities for
rearrangement invariant spaces
Guillermo P. Curbera and Werner J.
Ricker
Positivity, 15 (2011) 553-570.
Special issue in memoriam of Charalambos D. Aliprantis.
Extensions of the classical Cesàro operator on Hardy spaces
Guillermo P. Curbera and Werner J. Ricker
Mathematica Scandinavica, 108 (2011) 637-653.
Function spaces arising from kernel
operators
Guillermo P. Curbera and Werner J. Ricker
Positivity, 14 (2010) 637-653.
Special issue dedicated to W. A. J.
(Wim) Luxemburg for the occasion of his 80th birthday.
How sumable are Rademacher series?
Guillermo P. Curbera
In: Vector Measures, Integration
and and Related Topics
Eds: G.P. Curbera, G. Mockenhaupt, W.J.
Ricker.
Operator Theory: Advances and
Applications,
Birkhäuser (Basel,
2010) 135-148.
ISBN: 978-3-0346-0210-5.
Rearrangement invariance
of Rademacher multiplicator spaces
Serguei V. Astashkin and
Guillermo P. Curbera
Journal of Functional Analysis, 256 (2009) 4071-4094.
Vector measures: Where are their
integrals?
Guillermo P. Curbera, Olvido Delgado and Werner J. Ricker
Positivity, 13 (2009)
61-87.
Rademacher multiplicator spaces
equal to L∞
Serguei V. Astashkin and
Guillermo P. Curbera
Proceedings of the American Mathematical Society, 136 (2008)
3493-3501.
Can optimal rearrangement
invariant Sobolev imbeddings be
further extended?
Guillermo P. Curbera and Werner J.
Ricker
Indiana University Mathematics Journal, 56 (2007)
1479-1498.
Compactness properties
of Sobolev imbeddings for
rearrangement invariant norms
Guillermo P. Curbera and Werner J.
Ricker
Transactions of the American
Mathematical Society, 359 (2007) 1471-1484.
Optimal domains for L0-valued
operators via stochastic measures
Guillermo P. Curbera and Olvido Delgado
Positivity, 11 (2007)
399-416.
The Fatou property in
p-convex Banach lattices
Guillermo P. Curbera and Werner J.
Ricker
Journal of Mathematical Analysis and
Applications, 328 (2007)
287-294.
Vector measures, integration and
applications
Guillermo P. Curbera and Werner J.
Ricker
In: Positivity. Eds: K. Boulabiar,
G. Buskes, A. Triki
Trends in Mathematics, Birkhäuser (Basel,
2007) 127-160.
ISBN: 978-3-7643-8477-7.
Extrapolation with weights,
rearrangement invariant function spaces, modular
inequalities and applications
to singular integrals
Guillermo P. Curbera, José García-Cuerva,
José María Martell, Carlos Pérez
Advances in Mathematics, 203 (2006)
256-318.
Banach lattices with
the Fatou property and optimal domains of kernel operators
Guillermo P. Curbera and Werner J. Ricker
Indagationes Mathematicae (N.
S.), 17 (2006) 187-204.
Symmetric kernel
of Rademacher multiplicator spaces
Serguei V. Astashkin and
Guillermo P. Curbera
Journal of Functional Analysis, 226 (2005) 173-192.
Optimal domain for the kernel
operator associated with Sobolev's inequality
Guillermo P. Curbera and Werner J. Ricker
Studia Mathematica, 158 (2003) 131-152 and 170 (2005) 217-218.
Multiplication operators on
the space of Rademacher series in rearrangement invariant
spaces
Guillermo P. Curbera and Vladimir A. Rodin
Mathematical Proceedings of the Cambridge Philosophical Society, 134 (2003)
153-162.
Optimal domains for kernel operators
via interpolation
Guillermo P. Curbera and Werner J. Ricker
Mathematische Nachrichten, 244 (2002) 47-63.
Multipliers on the Set
of Rademacher Series in Symmetric Spaces (In Russian)
Guillermo P. Curbera and Vladimir A. Rodin
Functional Analysis and Its Applications, 36 (2002) 244-246.
Please no new integrals!
Guillermo P. Curbera
Tübinger Berichte zur
Funktionalanalysis, 9 (1999-2000)
117-124.
Volterra convolution operators with values in
rearrangement invariant spaces
Guillermo P. Curbera
Journal of the London Mathematical
Society, 60 (1999) 258-268.
A note on funtion spaces
generated by Rademacher series
Guillermo P. Curbera
Proceedings of the Edinburgh Mathematical Society, 40 (1997) 119-126.
Banach space properties of L1 of
a vector measure
Guillermo P. Curbera
Proceedings of the American Mathematical Society, 123 (1995)
3797-3806.
When L1 of a vector measure is
an AL-space
Guillermo P. Curbera
Pacific Journal of Mathematics, 162 (1994) 287-303.
Operators into L1 of a vector measure and applications
to Banach lattices
Guillermo P. Curbera
Mathematische Annalen, 293 (1992) 313-330.
Ph. D. thesis
The space of integrable functions
with respect to a vector measure
Universidad de Sevilla, 1992.
Advisor:
Francisco J. Freniche.
Ph. D. students
Nuevas
contribuciones sobre L1 de una medida vectorial
Universidad de Sevilla, 2004.
Francisco Javier Carrillo Alanís
Local distribution of Rademacher
series and function spaces
Universidad de Sevilla, 2017.
José Jorge Bueno Contreras
The Cesàro
space of Dirichlet series
Universidad de Sevilla, 2018.
(Co-advisor: Olvido Delgado
Garrido)
“The wine of Saint Martin’s day” by Pieter Bruegel the Elder, Museo del Prado,
Madrid
Docencia
Curso 2022-2023: Teoría Analítica de Números, Cálculo
Infinitesimal.
Para horarios, consultas, exámenes, ver: Departamento de Análisis
Matemático, Facultad de Matemáticas.
Proyecto de
estimulación del talento matemático Estalmat,
2005-2023.
History of Mathematics
«Il
mio primo viaggio in quest'isola incantevole»
The
relationship of Volterra with the Circolo Matematico di Palermo
Guillermo
P. Curbera
In: Vito
Volterra nel centenario della sua Presidenza
Lincea
Accademia
Nazionale dei Lincei
Atti dei Convegni Lincei
ISSN:
0391-805X, to appear
William Henry Young, an
Unconventional President of the International Mathematical Union
Guillermo
P. Curbera
In: Mathematical Communities
in the Reconstruction After the Great War 1918–1928,
Eds.: L. Mazliak and R. Tazzioli,
Trends in
the History of Science
Springer
2021
ISBN: 978-3-030-61682-3
Giovanni Battista Guccia. Pioneer of
International Cooperation in Mathematics
Benedetto Bongiorno
and Guillermo P. Curbera
Springer, 2018
ISBN: 978-3-319-78667-4
El club de los matemáticos. Los congresos internacionales
Guillermo P. Curbera
Editorial RBA, 2011
ISBN: 978-84-473-7441-0.
Translated into English, French,
Italian, Polish, Check, Hungarian and Russian.
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Mathematicians of the World Unite!
The International Congress of Mathematicians–A Human Endeavor
NOW OPEN ACCESS (thanks to Taylor & Francis)
Guillermo P. Curbera
With a Foreword by Lennart Carleson
AK Peters, 2009
ISBN: 978-1-56881-330-1
The International Congress of Mathematicians: a
human endeavour
Guillermo P. Curbera
Current
Science, 99 no. 3 (2010) 287-292.
ISSN: 0011-3891
Guillermo P. Curbera
European Mathematical Society
Newsletter, 63, March 2007, p. 16-21.
ISSN: 1027-488X
Una mirada histórica a los
International Congress of
Mathematicians
Guillermo P. Curbera
Fronteras matemáticas del siglo XXI
Arbor: Ciencia pensamiento y cultura, CLXXXIII, 725 (2007) pags. 363-372
ISSN: 0210-1963
Los ICM a través de la Historia
Guillermo P. Curbera
La Gaceta de la Real Sociedad Matemática Española, 9.3
(2006), p. 695-711.
ISSN: 1138-8927
Quinientos años de matemáticas en
Sevilla y algunos menos en la Universidad
Guillermo Curbera y Antonio Durán
En: Historia de los Estudios e Investigación en Ciencias en
la Universidad de Sevilla
Universidad de Sevilla, 2005, pag.
75-144.
ISBN: 84-472-1001-4.
Matemáticas desde las afueras:
Ramanujan y Sunyer i Balaguer
Guillermo Curbera
En: Matemáticos y Matemáticas
Antonio J. Durán, José Ferreiros
eds.
Universidad de Sevilla, 2004, pag.
157-184.
ISBN: 84-472-0810-9.
The ICM through History
Curator of the exhibition organized
for ICM 2006 in Madrid, commemorating 25 editions of the ICMs.
The exhibition reviews the history
of the twenty-four editions of the International Congress of Mathematicians
that
have taken place since the first one
was held in Zürich in 1897. Besides its mathematical content, ICM has been a
cultural event where other
activities have taken place: art exhibits, musical concerts, leisure
excursions, chess contests,
social balls. Some ICMs have created
a particular iconography; some have taken place in singular buildings;
some have suffered from historical
events. The exhibition reviews the human and cultural side of ICMs.
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Navigate through ICM
In addition to the mathematical
content of the congresses, the proceedings of the ICMs contain a large amount
of other
information. By searching through
the collection of more than 50 volumes, one can find who attended the
congresses,
who lectured, and much more.
“There’s a little place, a place called space. It’s a pretty
little place”. Patty Smith, “Horses”.
Pop Art in
Pyongyang
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