2026 Peter Šemrl: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	40	2076	1827	3	3	179	5998

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2076

1827

179

5998

Research.com Recognitions

2026 - Research.com Mathematics in Slovenia Leader Award
2025 - Research.com Mathematics in Slovenia Leader Award

Overview

Peter Šemrl is affiliated with the University of Ljubljana in Slovenia and specializes in Mathematics. Their research spans several subfields, including Algebra and Number Theory, Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, and Geometry and Topology.

The main topics covered in their work include:

Advanced Topics in Algebra
Advanced Operator Algebra Research
Matrix Theory and Algorithms
Finite Group Theory Research
Advanced Banach Space Theory
Algebraic structures and combinatorial models
Holomorphic and Operator Theory

Peter Šemrl has contributed to multiple research publications. Selected recent papers are as follows:

Wigner symmetries and Gleason's theorem, 2021, Journal of Physics A Mathematical and Theoretical
Maps on Grassmann spaces preserving the minimal principal angle, 2023, Acta Scientiarum Mathematicarum

Other notable papers coauthored by frequent collaborators include:

The Waring problem for matrix algebras, II, 2023, Bulletin of the London Mathematical Society
Zero product preserving maps on matrix rings over division rings, 2020, Contemporary Mathematics - American Mathematical Society
Coexistency on Hilbert Space Effect Algebras and a Characterisation of Its Symmetry Transformations, 2020, Communications in Mathematical Physics

Frequent co-authors of Peter Šemrl include:

Michiya Mori
Matej Brešar
György Pál Gehér

Peter Šemrl's work has been published in various venues, with multiple papers appearing in arXiv (Cornell University). Other frequent publication venues include:

Journal of Physics A Mathematical and Theoretical
Proceedings of the Royal Society of Edinburgh Section A Mathematics
Bulletin of the London Mathematical Society
Acta Scientiarum Mathematicarum

Best Publications

On the behavior of mappings which do not satisfy Hyers-Ulam stability

Themistocles M. Rassias;Peter Šemrl

565
Citations
Local automorphisms and derivations on $\mathcal{B}(H)$

Peter Šemrl

342
Citations
On the Hyers-Ulam Stability of Linear Mappings

T.M. Rassias;P. Semrl

291
Citations
Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations

Matej Brešar;Peter Šemrl

213
Citations
Orthogonality of matrices and some distance problems

Rajendra Bhatia;Peter Šemrl

171
Citations
Additive mappings preserving operators of rank one

Matjaž Omladič;Peter Šemrl

165
Citations
Some general techniques on linear preserver problems

Alexander Guterman;Chi-Kwong Li;Peter Šemrl

146
Citations
Quadratic functionals and Jordan *-derivations

Peter Šemrl

132
Citations
On non linear perturbations of isometries

Matjaž Omladič;Peter Šemrl

132
Citations
The stability of the exponential equation

Roman Ger;Peter Semrl

124
Citations
On the Mazur-Ulam theorem and the Aleksandrov problem for unit distance preserving mappings

Themistocles M. Rassias;Peter Šemrl

117
Citations
Linear Maps Preserving the Spectral Radius

Matej Brešar;Peter Šemrl

104
Citations
On locally linearly dependent operators and derivations

Matej Brešar;Peter Šemrl

98
Citations
On Jordan *-derivations and an application

Peter Šemrl

94
Citations
The functional equation of multiplicative derivation is superstable on standard operator algebras

Peter Šemrl

88
Citations
Additive derivations of some operator algebras

Peter Šemrl

85
Citations
Automorphisms of B(H) with respect to minus partial order

Peter Šemrl

84
Citations
On local automorphisms and mappings that preserve idempotents

Matej Brešar;Peter Šemrl

82
Citations
Maps preserving the nilpotency of products of operators

Chi-Kwong Li;Peter Šemrl;Nung-Sing Sze

81
Citations
Quadratic and quasi-quadratic functionals

Unknown

81
Citations
Isomorphisms of standard operator algebras

Peter Šemrl

73
Citations

Frequent Co-Authors

Matej Brešar University of Ljubljana

Chi-Kwong Li William & Mary

Rajendra Bhatia Ashoka University

Richard A. Brualdi University of Wisconsin–Madison

Volker Mehrmann Technical University of Berlin

External Links

Personal website of Peter Šemrl

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