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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