Mailing address:

Alfréd Rényi Institute of Mathematics,
Hungarian Academy of Sciences
H-1053 Budapest, Reáltanoda u. 13-15.
E-mail: titkos.tamas@renyi.mta.hu
Room: III/18

Research interests:

Functional analysis, Operator theory, Preserver problems


- János Bolyai Mathematical Society
- European Mathematical Society
- Public body of the Hungarian Academy of Sciences

Selected Papers:

1. Tamás Titkos
Arlinskii's iteration and its applications
Proceedings of the Edinburgh Mathematical Society,
Cambridge CORE, 2018
arXiv:1609.03021 [math.FA]

2. György Pál Gehér, Tamás Titkos

A characterisation of isometries with respect to the Lévy-Prokhorov metric
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, 2017
DOI: 10.2422/2036-2145.201702_011, arXiv:1701.04267 [math.FA]

3. Zsigmond Tarcsay, Tamás Titkos

On the order structure of representable functionals
Glasgow Mathematical Journal, Cambridge CORE, 2017
arXiv:1608.03733 [math.FA]

4. Zoltán Sebestyén, Tamás Titkos

A Radon-Nikodym type theorem for forms,
Positivity, Springer Basel,

5. Tamás Titkos

A Simple Proof of the Lebesgue Decomposition Theorem
The American Mathematical Monthly, Taylor&Francis, 2015
DOI: 10.4169/amer.math.monthly.122.8.793

Ph. D. Thesis: 

Decomposition theory of forms, 2016
Doctoral School of Mathematics, Eötvös Loránd University

Selected talks:

11/07/2016 Surjective Lévy-Prokhorov Isometries
20th Conference of the International Linear Algebra Society
Leuven, Belgium 

18/03/2017 Absolute continuity and Galois closedness
Joint Analysis and Pure Mathematics Seminar, University of Reading
Reading, United Kingdom

18/05/2017 Non-linear preservers for probability measures 
Preservers Everywhere - International Conference on Preserver Problems
Szeged, Hungary

15/08/2017 Lebesgue decomposition and order structure
International Workshop on Operator Theory and its Applications
Chemnitz, Germany

03/10/2017 Positive extension of suboperators
Operator Theory Workshop, University of Reading
Reading, United Kingdom

21/11/2017 Lebesgue- and Radon--Nikodym type theorems
Formal Sciences Seminar, Institute of Science and Technology Austria 
Klosterneuburg, Austria

28/11/2017 Extension of suboperators and the generalized Schur complement
Functional Analysis Seminar, University of Oxford 
Oxford, United Kingdom

18/01/2018 Banach-Stone type theorems for probability measures
46th Winter School in Abstract Analysis (Section Analysis)
Svratka, Chech Republic

Planned talks:

21-23/03/2018 Arlinskii's iteration and its applications
Young Functional Analysts' Workshop, Newcastle University
Newcastle upon Tyne, United Kingdom

9-13/07/2018 Generalized Krein - von Neumann extension
6th Summer Workshop on Operator Theory, Uniwersytet Rolniczy w Krakowie
Kraków, Poland