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arXiv · 1211.6243

A similarity invariant of a class of n-normal operators in terms of K-theory

Chunlan Jiang·Rui Shi
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Abstract

In this paper, we prove an analogue of the Jordan canonical form theorem for a class of $n$-normal operators on complex separable Hilbert spaces in terms of von Neumann's reduction theory. This is a continuation of our study of bounded linear operators, the commutants of which contain bounded maximal abelian set of idempotents. Furthermore, we give a complete similarity invariant for this class of operators by $K$-theory for Banach algebras.

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Chunlan Jiang, Rui Shi. 2012-11-27. A similarity invariant of a class of n-normal operators in terms of K-theory. https://arxiv.org/abs/1211.6243

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