Structure theorem for AN-operators

G, Ramesh (2014) Structure theorem for AN-operators. Journal of the Australian Mathematical Society, 96 (3). pp. 386-395. ISSN 1446-7887

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Abstract

In this paper we prove a structure theorem for the class of AN-operators between separable, complex Hilbert spaces which is similar to that of the singular value decomposition of a compact operator. Apart from this, we show that a bounded operator is AN if and only if it is either compact or a sum of a compact operator and scalar multiple of an isometry satisfying some condition. We obtain characterizations of these operators as a consequence of this structure theorem and deduce several properties which are similar to those of compact operators. Copyright

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IITH Creators:	IITH Creators ORCiD G, Ramesh UNSPECIFIED
Item Type:	Article
Uncontrolled Keywords:	AN-operator; compact operator; isometry; minimum modulus
Subjects:	?? sub3.8 ??
Divisions:	Department of Mathematics
Depositing User:	Team Library
Date Deposited:	16 Dec 2014 10:37
Last Modified:	14 Jan 2016 11:47
URI:	http://raiithold.iith.ac.in/id/eprint/1142
Publisher URL:	http://dx.doi.org/10.1017/S1446788714000068
OA policy:	http://www.sherpa.ac.uk/romeo/issn/1446-7887/
Related URLs:	Google Scholar

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