On A Subclass of Norm Attaining Operators

G, Ramesh (2019) On A Subclass of Norm Attaining Operators.

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Abstract

A bounded linear operator T : H → H, where H is a Hilbert space, is said to be norm attaining if there exists a unit vector x ∈ H such that kT xk = kTk. Let RT denote the set of all reducing subspaces of T. Define β(H) := {T ∈ B(H) : T|M : M → M is norm attaining for every M ∈ RT }. In this talk, we discuss properties and structure of positive operators in β(H) and compare with those of absolutely norm attaining operators (AN - operators). This is a joint work with Prof. Hiroyuki Osaka.

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IITH Creators:
IITH CreatorsORCiD
G, RameshUNSPECIFIED
Item Type: Article
Subjects: Mathematics
Divisions: Department of Mathematics
Depositing User: Team Library
Date Deposited: 13 Nov 2019 05:06
Last Modified: 13 Nov 2019 05:06
URI: http://raiith.iith.ac.in/id/eprint/6974
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