Analysis Seminar
Thursday, 8 February 2024, 3.30 pm
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Venue: Link: meet.google.com/kxj-tmsk-zou
Host: Santanu Dey
Speaker: Shanola Sequeira
Affiliation: IIT Hyderabad
Title: Absolutely norm-attaining and absolutely minimum attaining operators
Abstract: A bounded linear operator $T$ between the Hilbert spaces $H_1$ and $H_2$ is called absolutely norm attaining if the restriction of $T$ to any non-zero closed subspace of $H_1$ attains its norm and absolutely minimum attaining if every restriction to a non-zero closed subspace of $H_1$ attains its minimum modulus. In this talk, we discuss some properties and spectral representations of these two classes of operators. Further, we also characterize absolutely norm attaining and absolutely minimum attaining Toeplitz and Hankel operators on the Hardy Hilbert space.