On the structure of absolutely minimum attaining operators

Jadav, G and G, Ramesh and Daniel, C (2015) On the structure of absolutely minimum attaining operators. Journal of Mathematical Analysis and Applications, 428 (1). pp. 457-470. ISSN 0022-247X

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Abstract

In this article we prove a characterization theorem for positive absolutely minimum attaining operators of first type. Using this we derive a representation theorem for general absolutely minimum attaining operators of first type, which is similar to that of the singular value decomposition for compact operators. We also study their spectrum and discuss about several properties of such operators.

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IITH Creators:	IITH Creators ORCiD G, Ramesh UNSPECIFIED
Item Type:	Article
Uncontrolled Keywords:	Minimum modulus; Absolutely minimum attaining operator; Compact operator; Spectrum
Subjects:	?? sub3.8 ??
Divisions:	Department of Mathematics
Depositing User:	Library Staff
Date Deposited:	14 Jan 2016 11:31
Last Modified:	14 Jan 2016 11:31
URI:	http://raiithold.iith.ac.in/id/eprint/2113
Publisher URL:	http://dx.doi.org/10.1016/j.jmaa.2015.03.016
OA policy:	http://www.sherpa.ac.uk/romeo/issn/0022-247X/
Related URLs:	Google Scholar

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