Linear Maps Preserving C-Normal Operators

Given a conjugation C on a separable complex Hilbert space H , a bounded linear operator T on H is said to be C -normal if C T T ∗ C = T ∗ T . In the present paper, we shall describe all those linear maps on B ( H ) that preserve the class of C -normal operators for every conjugation C .

Saved in:
Bibliographic Details
Published in:Mediterranean journal of mathematics 2022-06, Vol.19 (3), Article 123
Main Authors: Amara, Zouheir, Oudghiri, Mourad
Format: Article
Language:English
Subjects:
Conjugation
Hilbert space
Linear operators
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Given a conjugation C on a separable complex Hilbert space H , a bounded linear operator T on H is said to be C -normal if C T T ∗ C = T ∗ T . In the present paper, we shall describe all those linear maps on B ( H ) that preserve the class of C -normal operators for every conjugation C .
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-022-02033-2