Work

Maps on self-adjoint operators preserving some relations related to commutativity

Year: 2024

Type: article

Abstract: In this paper, we give the complete description of maps on self-adjoint bounded operators on Hilbert space which preserve a triadic relation involving the difference of operators and either commutativity or quasi-commutativity in both directions. We show that those maps are implemented by unitary or antiunitary equivalence and possible additive perturbation by a scalar operator.

Source: Mathematica Slovaca

DOI: 10.1515/ms-2024-0111

Authors: Mahdi Karder, Tatjana Petek

Institutions: Zabol University, University of Maribor, Institute of Mathematics, Physics, and Mechanics

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4405107015

FWCI:

Cites: 9

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Related to: 10