R. Aron (Kent, Ohio)

will speak on

Reflexivity and norm attaining operators

Time: 4:00PM
Date: Tue 6th April 2021
Location: Online [map]

Further information

Abstract: This is joint work with Domingo García, Daniel Pellegrino, and Eduardo Teixeira (Proc. AMS (2020)). We discuss a property called ``wmp,'' related to reflexivity, that has applications to norm attaining operators. A pair $(X,Y)$ of Banach spaces has the weak maximizing property (wmp) if any bounded linear operator $T:X \to Y$ attains its norm provided there is a non weakly-null maximizing sequence.

Our intentions are to
(i) explain the italicised words in the previous sentence,
(ii) describe the relation between the ``wmp'' and reflexivity, and
(iii) discuss some open problems.

(This talk is part of the Analysis series.)

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