On relaxation normality in the fuglede-putnam theorem for a quasi-class a operators

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Let T be a bounded linear operator acting on a complex Hubert space H. In this paper, we show that if A is quasi-class A, X is invertible quasi-class A, X is a Hilbert-Schmidt operator, AX = XB and ∥|A*|∥ ∥|B| -1 then A*X = XB*.

Original languageEnglish
Pages (from-to)307-312
Number of pages6
JournalTamkang Journal of Mathematics
Volume40
Issue number3
Publication statusPublished - Sep 2009

Fingerprint

Normality
Hilbert-Schmidt Operator
Hubert Space
Bounded Linear Operator
Operator
Theorem
Invertible
Class

Keywords

  • Fuglede-putnam theorem
  • Quasi-class A

ASJC Scopus subject areas

  • Metals and Alloys
  • Materials Science(all)

Cite this

On relaxation normality in the fuglede-putnam theorem for a quasi-class a operators. / Rashid, M. H M; Md. Noorani, Mohd. Salmi.

In: Tamkang Journal of Mathematics, Vol. 40, No. 3, 09.2009, p. 307-312.

Research output: Contribution to journalArticle

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