Smooth points in spaces of operators

Article Type

Research Article

Publication Title

Linear Algebra and Its Applications

Abstract

For Banach spaces X, Y, in the space of bounded linear operators L(X,Y), we examine the relation between T∈L(X,Y) being a smooth point versus T⁎∈L(Y⁎,X⁎) being a smooth point. Motivated by some results in the recent paper of Paul et al., we give some sufficient conditions for the validity of such a statement for spaces of operators.

First Page

129

Last Page

133

DOI

10.1016/j.laa.2016.12.011

Publication Date

3-15-2017

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