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Adjugates in Banach algebras

Published:2005-10-07 Issue:5 Volume:134 Page:1397-1404
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Harte Robin,Hernández Carlos

Abstract

A simple formula for the adjugate of a block triangle offers an alternative route to the determinant theory for Banach algebras.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-05/S0002-9939-05-08317-6/S0002-9939-05-08317-6.pdf

Reference23 articles.

1. Universitext;Aupetit, Bernard,1991

2. Lecture Notes in Mathematics;Aupetit, Bernard,1979

3. Trace and determinant in Banach algebras;Aupetit, Bernard;Studia Math.,1996

4. Research Notes in Mathematics;Barnes, Bruce A.,1982

5. Finite rank elements in semisimple Banach algebras;Brešar, Matej;Studia Math.,1998

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1. Hankel and Toeplitz operators, block matrices and derivations;Filomat;2023

2. Formal Matrices;Algebra and Applications;2017

3. Rank in Banach algebras: A generalized Cayley–Hamilton theorem;Linear Algebra and its Applications;2016-10

4. The inverse along a lower triangular matrix;Applied Mathematics and Computation;2012-10

5. A correction to ‘‘Adjugates in Banach algebras”;Proceedings of the American Mathematical Society;2010-08-01

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