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Jordan Loops and Decompositions of Operators

Published online by Cambridge University Press:  20 November 2018

Arlen Brown  and
Carl Pearcy
Arlen Brown
Affiliation:
Indiana University, Bloomington, Indiana
Carl Pearcy
Affiliation:
University of Michigan Ann Arbor, Michigan
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Let be a separable, infinite dimensional, complex Hilbert space, and let denote the algebra of all bounded linear operators on . In what follows we shall denote the spectrum, essential spectrum, and left essential spectrum of an operator T in , respectively. Furthermore, if and T1 is unitarily equivalent to a compact perturbation of an operator T2, then we write T1~ T2, and if the compact perturbation can be chosen to have norm less than e, we write T1 ~ T2(ϵ).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 5 , 01 October 1977 , pp. 1112 - 1119
Copyright
Copyright © Canadian Mathematical Society 1977

References

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