The unilateral shift and a norm equality for bounded linear operators-Reference-Cited by-同舟云学术

The unilateral shift and a norm equality for bounded linear operators

Published:1999-02-10 Issue:6 Volume:127 Page:1693-1696
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Lin C.-S.

Abstract

The paper gives a necessary and sufficient condition for the norm equality ∥ S − T ∥=∥ S ∥ + ∥ T ∥ \parallel S-T\parallel =\parallel S\parallel +\parallel T\parallel of bounded linear operators S S and T T . The invertibility of an operator which is related to the norm equality is discussed. Some new results about the unilateral shift are given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-06/S0002-9939-99-04743-7/S0002-9939-99-04743-7.pdf

Reference3 articles.

1. The Daugavet equation in uniformly convex Banach spaces;Abramovich, Y. A.;J. Funct. Anal.,1991

2. Generalized Daugavet equations and invertible operators on uniformly convex Banach spaces;Lin, C.-S.;J. Math. Anal. Appl.,1996

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