A representation of compact C-normal operators

Ramesh, G. and Sudip Ranjan, B. and Venku Naidu, D. (2022) A representation of compact C-normal operators. Linear and Multilinear Algebra. pp. 1-13. ISSN 0308-1087

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Abstract

Let C be a conjugation on a complex separable Hilbert space H. A bounded linear operator T is said to be C-normal if (Formula presented.). In this paper, first, we give a representation of C-normal operators on finite dimensional Hilbert space and later extend it to compact C-normal operators on infinite-dimensional separable Hilbert spaces. In the end, we discuss the eigenvalue problem for C-normal operators and show that every compact C-normal operator has a solution for the eigenvalue problem. © 2022 Informa UK Limited, trading as Taylor & Francis Group.

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IITH Creators:

IITH Creators	ORCiD
Ramesh, G.	UNSPECIFIED
Dogga, Venku Naidu	UNSPECIFIED

Item Type:

Article

Uncontrolled Keywords:

antiunitary; C-normal operator; C-skew-symmetric operator; C-symmetric operator; compact operator; Conjugation; eigenvalue problem; polar decomposition

Subjects:

Mathematics

Divisions:

Department of Mathematics

Depositing User:

. LibTrainee 2021

Date Deposited:

08 Oct 2022 09:21

Last Modified:

08 Oct 2022 09:21

URI:

http://raiithold.iith.ac.in/id/eprint/10857