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On the Taylor spectrum of left-right multipliers
Author(s):
Robin
Harte;
Carlos
Hernández
Journal:
Proc. Amer. Math. Soc.
126
(1998),
397-404.
MSC (1991):
Primary 46L05, 47A10, 47C15, 18G35, 47D25;
Secondary 47A62
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Abstract:
The Taylor spectrum of a mixed pair of multiplication operators is determined on an ultraprime Banach algebra.
References:
- 1.
- R.E. Curto, Applications of several complex variables to multiparameter spectral theory, Pitman lecture notes 1985. MR 90d:47007
- 2.
- R.E. Curto and L.A. Fialkow, The spectral picture of
 , Jour. Funct. Anal. 71 (1987) 371-392. MR 88c:47006 - 3.
- R.E. Curto and C. Hernández G., A joint spectral characterization of primeness for
 algebras, Proc. Amer. Math. Soc. (to appear). CMP 96:16 - 4.
- R.E. Harte, Spectral mapping theorems, Proc. Royal Irish Acad. 72A (1972) 89-107. MR 48:4738
- 5.
- R.E. Harte, Tensor products, multiplication operators and spectral mapping theorems, Proc. Royal Irish Acad. 73A (1973) 285-302. MR 48:6984
- 6.
- R.E. Harte, Invertibility, singularity and Joseph L. Taylor, Proc. Royal Irish Acad. 81A (1981) 71-79. MR 82m:47003
- 7.
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- 8.
- R.E. Harte, Invertibility and singularity (Dekker New York 1988).
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- 10.
- M. Mathieu, Elementary operators on prime
 -algebras I, Math. Ann. 284 (1989) 223-244. MR 90h:46092 - 11.
- J.L. Taylor, A joint spectrum for several commuting operators, Jour. Funct. Anal. 6 (1970) 172-191. MR 42:3603
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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:
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
Copyright of article:
Copyright
1998,
American Mathematical Society
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