A remark on commuting operator exponentials

Author:

Wermuth Edgar

Abstract

In a previous paper the author proved that for square matrices with algebraic entries exp ( A ) (A) exp ( B ) = (B)= exp ( B ) (B) exp ( A ) (A) if and only if A B = B A AB=BA . This result is extended here to bounded operators on an arbitrary Banach space.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference16 articles.

1. Dennis S. Bernstein, Problem 88-1, Commuting Matrix Exponentials, SIAM Rev. 30 (1988), 123.

2. Erratum: “Some open problems in matrix theory arising in linear systems and control” [Linear Algebra Appl. 162/164 (1992), 409–432; MR1148412 (92k:93040)];Bernstein, D. S.;Linear Algebra Appl.,1993

3. Pure and Applied Mathematics;Burckel, Robert B.,1979

4. Addison-Wesley Series in Mathematics;Hille, Einar,1972

5. Topics in Matrix Analysis

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