Golla, R. and Osaka, Hiroyuki
(2020)
Linear maps preserving ANoperators.
Bulletin of the Korean Mathematical Society.
ISSN 10158634
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Abstract
Let H be a complex Hilbert space and T: H → H be a bounded linear operator. Then T is said to be norm attaining if there exists a unit vector x0 ϵ H such that T x0= T f for any closed subspace M of H, the restriction T M: M → H of T to M is norm attaining, then T is called an absolutely norm attaining operator or ANoperator. In this note, we discuss linear maps on B(H), which preserve the class of absolutely norm attaining operators on H.
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