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Equality of essential spectra of quasisimilar operators with property (δ)

Published online by Cambridge University Press:  18 May 2009

T. L. Miller  and
V. G. Miller
T. L. Miller
Affiliation:
Mississippi State University, Drawer MA, Mississippi State, MS 39762, U.S.A. E-mail: miller@math.msstate.edu
V. G. Miller
Affiliation:
Mississippi State University, Drawer MA, Mississippi State, MS 39762, U.S.A.vivien@math.msstate.edu
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Abstract

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A Banach space operator has property (δ) if and only if it is the quotient of a decomposable operator, equivalently, if and only if its adjoint has Bishop's property (β). Within this class of operators, it is shown that quasisimilarity preserves essential spectra.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 38 , Issue 1 , January 1996 , pp. 21 - 28
Copyright
Copyright © Glasgow Mathematical Journal Trust 1996

References

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