Title

Operators on separable L1-predual spaces

Article Type

Research Article

Publication Title

Journal of Mathematical Analysis and Applications

Abstract

We give an extension of the classical Bartle–Dunford–Schwartz theorem for weakly compact operators on a C(K) space, to weakly compact operators on a separable L1-predual space. Using this we show that for operators on these spaces, the set of weakly compact operators that attain their norm is dense in the space of weakly compact operators. For operators from the space of affine continuous functions on a metrizable Choquet simplex with values in an uniformly convex space, we show that the operator theoretic version of the Bishop–Phelps–Bollobás property is valid. This gives an extension of some recent work of Kim and Lee.

First Page

252

Last Page

259

DOI

10.1016/j.jmaa.2018.09.016

Publication Date

1-1-2019

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