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On the Uniqueness of Jordan Canonical Form Decompositions of Operators by K-theoretical Data

Published online by Cambridge University Press:  20 November 2018

Chunlan Jiang  and
Rui Shi
Chunlan Jiang
Affiliation:
Department of Mathematics, Hebei Normal University, Hebei, 050024, China e-mail: cljiang@hebtu.edu.cn
Rui Shi
Affiliation:
School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China e-mail: ruishi@dlut.edu.cn
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Abstract

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In this paper, we develop a generalized Jordan canonical form theorem for a certain class of operators in $L\left( H \right)$ . A complete criterion for similarity for this class of operators in terms of $K$ -theory for Banach algebras is given.

Keywords

47A1547C1547A65strongly irreducible operatorsimilarity invariantreduction theory of von Neumann algebrasK-theory
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 59 , Issue 2 , 01 June 2016 , pp. 326 - 339
Copyright
Copyright © Canadian Mathematical Society 2016

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