When products of selfadjoints are normal-Reference-Cited by-同舟云学术

When products of selfadjoints are normal

Published:2000-04-11 Issue:8 Volume:128 Page:2509-2511
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Albrecht E.,Spain P.

Abstract

Suppose that h , k ∈ L ( H ) h, \, k \in \mathcal {L}(\mathcal {H}) are two selfadjoint bounded operators on a Hilbert space H \mathcal {H} . It is elementary to show that h k hk is selfadjoint precisely when h k = k h hk = kh . We answer the following question: Under what circumstances must h k hk be selfadjoint given that it is normal?

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2000-128-08/S0002-9939-00-05830-5/S0002-9939-00-05830-5.pdf

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