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Essential spectra through local spectral theory
Author(s):
K.
B.
Laursen
Journal:
Proc. Amer. Math. Soc.
125
(1997),
1425-1434.
MSC (1991):
Primary 47A10, 47A11, 47B40;
Secondary 43A22, 46J10, 47A53
MathSciNet review:
1389525
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Abstract:
Based on a nice observation of Eschmeier, this is a study of the use of local spectral theory in investigations of the semi-Fredholm spectrum of a continuous linear operator. We also examine the retention of the semi-Fredholm spectrum under weak intertwining relations; it is shown, inter alias, that if two decomposable operators are intertwined asymptotically by a quasi-affinity then they have identical semi-Fredholm spectra. The results are applied to multipliers on commutative semisimple Banach algebras.
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Additional Information:
K.
B.
Laursen
Affiliation:
Matematisk Institut, Københavns Universitet, Universitetsparken 5, DK-2100 Køben- havn Ø, Denmark
Email:
laursen@math.ku.dk
DOI:
10.1090/S0002-9939-97-03852-5
PII:
S 0002-9939(97)03852-5
Received by editor(s):
June 28, 1995
Received by editor(s) in revised form:
November 17, 1995
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1997,
American Mathematical Society
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