Linear Maps Preserving Function Calculus and Entropies

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00381383" target="_blank" >RIV/68407700:21230/24:00381383 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1134/S1995080224603291" target="_blank" >https://doi.org/10.1134/S1995080224603291</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1134/S1995080224603291" target="_blank" >10.1134/S1995080224603291</a>

Result language

angličtina

Original language name

Linear Maps Preserving Function Calculus and Entropies

Original language description

We show that a unital map between Jordan–Banach algebras or Banach algebras that preserves function calculus given by a single nontrivial locally analytic function must be a Jordan morphism. Ramifications of this results are presented. As an application we prove that quantum channel on general Jordan -algebras preserving Segal and Renyi entropy must be a Jordan homomorphism.

Czech name

—

Czech description

—

Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA23-04776S" target="_blank" >GA23-04776S: Interplay of algebraic, metric, geometric and topological structures on Banach spaces</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2024

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Lobachevskii Journal of Mathematics

ISSN

1995-0802

e-ISSN

1818-9962

Volume of the periodical

45

Issue of the periodical within the volume

6

Country of publishing house

US - UNITED STATES

Number of pages

7

Pages from-to

2502-2508

UT code for WoS article

—

EID of the result in the Scopus database

2-s2.0-85205976919