Regularity of operators on essential extensions of the compacts

Pal, Arupkumar (1998) Regularity of operators on essential extensions of the compacts Arxiv-eprints . pp. 1-13.

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Official URL: http://arxiv.org/pdf/math.OA/9906186.pdf

Abstract

A semiregular operator on a Hilbert C-module, or equivalently, on the C-algebra of 'compact' operators on it, is a closable densely defined operator whose adjoint is also densely defined. It is shown that for operators on extensions of compacts by unital or abelian C-algebras, semiregularity leads to regularity. Two examples coming from quantum groups are discussed.

Item Type:Article
Source:Copyright of this article belongs to Arxiv Publications.
Keywords:Hilbert C-modules; Regular Operators; C-algebras; Essential Extensions
ID Code:89584
Deposited On:28 Apr 2012 12:50
Last Modified:19 May 2016 04:06

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