Leaderboards/Advanced Banach Space Theory

Advanced Banach Space Theory

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Fernando Albiac
University of Missouri
2
Jin Tao
Beijing Normal University
3
B.E. Kanetov
Kyrgyz National University
4
Karsten Kruse
Hamburg University of Technology
5
Ramón J. Aliaga
Universitat Politècnica de València
6
Ramon Antoine
Universitat Autònoma de Barcelona
7
Eusebio Gardella
Chalmers University of Technology
8
Andreas Debrouwere
Vrije Universiteit Brussel
9
L. Bernal-González
Universidad de Sevilla
10
Stavros Evdoridis
Aalto University

Rising Stars Papers

1
The modern theory of Cuntz semigroups of $C^{\ast}$-algebras
EMS Surveys in Mathematical Sciences|2024
9 cit.
2
Rings and C*-algebras generated by commutators
Journal of Algebra|2024
8 cit.
3
Convex integrals of molecules in Lipschitz-free spaces
Journal of Functional Analysis|2024
7 cit.
4
Traces on ultrapowers of C*-algebras
Journal of Functional Analysis|2024
5 cit.
5
Dynamical comparison and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"> <mml:mi mathvariant="script">Z</mml:mi> </mml:math> -stability for crossed products of simple C⁎-algebras
Advances in Mathematics|2024
4 cit.
6
Tracially amenable actions and purely infinite crossed products
Mathematische Annalen|2024
4 cit.
7
Twenty-five years of greedy bases
Journal of Approximation Theory|2024
4 cit.
8
Prime ideals in C*-algebras and applications to Lie theory
Proceedings of the American Mathematical Society|2024
3 cit.
9
Linear versus nonlinear forms of partial unconditionality of bases
Journal of Functional Analysis|2024
3 cit.
10
De Leeuw representations of functionals on Lipschitz spaces
Nonlinear Analysis|2025
3 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Gerhard Schindl
University of Vienna
2
Fabian Mussnig
TU Wien
3
Nilanjan Das
Indian Statistical Institute
4
Fu Ken Ly
UNSW Sydney
5
Sunke Schlüters
Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)
6
M. A. A. Marabeh
Palestine Technical University - Kadoorie
7
Guangheng Xie
Central South University
8
Nesibe Manav Mutlu
Türkisch-Deutsche Universität
9
Kawtar Ramdane
Université Ibn-Tofail
10
Minglei Shi
Zhejiang Shuren University

Emerging Leaders Papers

1
The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge–Ampère measures
Calculus of Variations and Partial Differential Equations|2022
17 cit.
2
The Hadwiger theorem on convex functions, IV: The Klain approach
Advances in Mathematics|2022
17 cit.
3
On generalized definitions of ultradifferentiable classes
Journal of Mathematical Analysis and Applications|2023
15 cit.
4
The Hadwiger Theorem on Convex Functions, I
Geometric and Functional Analysis|2024
14 cit.
5
The theorem of iterates for elliptic and non-elliptic operators
Journal of Functional Analysis|2022
10 cit.
6
Characterization of the boundedness of generalized fractional integral and maximal operators on Orlicz–Morrey and weak Orlicz–Morrey spaces
Mathematische Nachrichten|2023
9 cit.
7
On the regularization of sequences and associated weight functions
Bulletin of the Belgian Mathematical Society - Simon Stevin|2024
8 cit.
8
On inclusion relations between weighted spaces of entire functions
Bulletin des Sciences Mathématiques|2023
7 cit.
9
Optimal Flat Functions in Carleman–Roumieu Ultraholomorphic Classes in Sectors
Results in Mathematics|2023
6 cit.
10
The Hadwiger theorem on convex functions, II: Cauchy–Kubota formulas
American Journal of Mathematics|2025
6 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Kenneth A. Hoffman
University of Minnesota
2
Juan B. Seoane‐Sepúlveda
Universidad Complutense de Madrid
3
Fedor Sukochev
Flinders University
4
Feyzı Başar
Inonu University
5
Dachun Yang
Beijing Normal University
6
Gideon Schechtman
Weizmann Institute of Science
7
Quanhua Xu
Laboratoire de Mathématiques
8
Lutz Weis
Karlsruhe Institute of Technology
9
Werner J. Ricker
Catholic University of Eichstätt-Ingolstadt
10
Manuel Maestre
Universitat de València

Current Senior Leaders Papers

1
Banach Spaces of Analytic Functions.
American Mathematical Monthly|1964
2.5k cit.
2
Operator–valued Fourier multiplier theorems and maximal $L_p$-regularity
Mathematische Annalen|2001
699 cit.
3
On the Space of Sequences of p-Bounded Variation and Related Matrix Mappings
Ukrainian Mathematical Journal|2003
283 cit.
4
Bounded Analytic Functions and Gleason Parts
Annals of Mathematics|1967
253 cit.
5
A Theory of Besov and Triebel‐Lizorkin Spaces on Metric Measure Spaces Modeled on Carnot‐Carathéodory Spaces
Abstract and Applied Analysis|2008
247 cit.
6
Noncommutative Burkholder/Rosenthal inequalities
The Annals of Probability|2003
244 cit.
7
Linear subsets of nonlinear sets in topological vector spaces
Bulletin of the American Mathematical Society|2013
217 cit.
8
The $H^{\infty}-$ calculus and sums of closed operators
Mathematische Annalen|2001
212 cit.
9
Stochastic integration in UMD Banach spaces
Unknown Journal|2007
206 cit.
10
Noncommutative maximal ergodic theorems
Journal of the American Mathematical Society|2006
198 cit.

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