Geometry of spaces of compact operators

Article Type

Research Article

Publication Title

Acta Scientiarum Mathematicarum

Abstract

For non-reflexive Banach spaces X, Y, for a very smooth point in the space of compact linear operators K(X, Y), we give several sufficient conditions for the adjoint to be a very smooth point in K(Y ∗, X∗). We exhibit a new class of extreme points in the dual unit ball of injective product spaces. These ideas are also related to Birkhoff–James orthogonality in spaces of operators.

First Page

495

Last Page

505

DOI

10.14232/actasm-018-809-2

Publication Date

1-1-2019

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