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

 

On the Taylor spectrum of left-right multipliers


Authors: Robin Harte and Carlos Hernández
Journal: Proc. Amer. Math. Soc. 126 (1998), 397-404
MSC (1991): Primary 46L05, 47A10, 47C15, 18G35, 47D25; Secondary 47A62
MathSciNet review: 1423309
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Abstract: The Taylor spectrum of a mixed pair of multiplication operators is determined on an ultraprime Banach algebra.


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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, UNAM\ Ciudad Universitaria, México, D.F. 04510\ México
Email: carlosh@matem.unam.mx

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04116-1
PII: S 0002-9939(98)04116-1
Keywords: Taylor spectrum, multiplication operators, prime algebras, ultraprime algebras
Received by editor(s): July 16, 1996
Additional Notes: This paper was written while the first named author was visiting the Instituto de Matemáticas, UNAM
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society