Vol. 69, No. 1, 1977

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ISSN: 0030-8730
A note on spectral continuity and on spectral properties of essentially G1 operators

Glenn Richard Luecke

Vol. 69 (1977), No. 1, 141–149
Abstract

A bounded operator on a separable Hilbert space is essentially G1 if the image of T in the Calkin algebra satisfies condition G1. This paper contains results describing (1) isolated points of the essential spectrum of essentially G1 operators, and (2) essentially G1 operators whose essential spectrum lies on a smooth Jordan curve. Finally, the continuity of the essential spectrum, Weyl spectrum, and spectrum is discussed.

Mathematical Subject Classification 2000
Primary: 47B99
Milestones
Received: 3 November 1976
Published: 1 March 1977
Authors
Glenn Richard Luecke