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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Separation of spectra for block triangles


Authors: Robin Harte and Cora Stack
Journal: Proc. Amer. Math. Soc. 136 (2008), 3159-3162
MSC (2000): Primary 47A10
Published electronically: March 11, 2008
MathSciNet review: 2407079
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Abstract: Separation of the spectra of the diagonal elements of a block triangle corresponds to comparison with its fundamental projection.


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Additional Information

Robin Harte
Affiliation: School of Mathematics, Trinity College, Dublin, Ireland
Email: rharte@maths.tcd.ie

Cora Stack
Affiliation: Department of Mathematics, Institute of Technology at Tallaght, Dublin, Ireland
Email: cora.stack@ittdublin.ie

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09272-1
PII: S 0002-9939(08)09272-1
Keywords: Banach algebra, separation of spectra, block matrices.
Received by editor(s): January 30, 2007
Received by editor(s) in revised form: June 14, 2007
Published electronically: March 11, 2008
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2008 American Mathematical Society