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Adjugates in Banach algebras
Author(s):
Robin
Harte;
Carlos
Hernández
Journal:
Proc. Amer. Math. Soc.
134
(2006),
1397-1404.
MSC (2000):
Primary 46H05;
Secondary 15A15
Posted:
October 7, 2005
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Abstract:
A simple formula for the adjugate of a block triangle offers an alternative route to the determinant theory for Banach algebras.
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Additional Information:
Robin
Harte
Affiliation:
School of Mathematics, Trinity College, Dublin 2, Ireland
Email:
rharte@maths.tcd.ie
Carlos
Hernández
Affiliation:
Instituto de Matemáticas, Universidad Nacional Autónoma de México, México, D.F. 04510, México
Email:
carlosh@servidor.unam.mx
DOI:
10.1090/S0002-9939-05-08317-6
PII:
S 0002-9939(05)08317-6
Keywords:
Banach algebras,
Fredholm theory,
adjugate,
determinant,
socle
Received by editor(s):
December 10, 2004
Posted:
October 7, 2005
Additional Notes:
The first author was supported by Enterprise Ireland Basic Research Grant SC/2002/0266
Communicated by:
David R. Larson
Copyright of article:
Copyright
2005,
American Mathematical Society
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