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

Autor: Karder, Mahdi, Petek, Tatjana
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv