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On Rank One Commutators and Triangular Representations

Published online by Cambridge University Press:  20 November 2018

Tsoy-Wo Ma
Tsoy-Wo Ma*
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, W.A. 6009, Australia
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Abstract

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Starting with the extension of Lomonosov's Lemma by Tychonoff fixed point theorem, a result of Daughtry and Kim — Pearcy-Shields on rank-one commutators is extended to the context of locally convex spaces. Non-zero diagonal coefficients, eigenvalues and simultaneous triangular representations of compact operators on locally convex spaces are studied.

Keywords

47A1047A67Lomonosov techniquerank one commutatorsinvariant subspacescompact non-selfadjointdiagonal coefficientseigenvaluestriangular representationsRiesz theory
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 3 , 01 September 1986 , pp. 268 - 273
Copyright
Copyright © Canadian Mathematical Society 1986

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