Geometry of spaces of compact operators

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 conditionsfor 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. The...

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Bibliographic Details
Main Author: Rao T. S. S. R. K
Format: Article
Published: 2019
Series:Acta scientiarum mathematicarum 85 No. 3-4
Kulcsszavak:Topológiai vektortér, Banach-tér
doi:10.14232/actasm-018-809-2

Online Access:http://acta.bibl.u-szeged.hu/66328
Description
Summary: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 conditionsfor 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.
Physical Description:495-505
ISSN:2064-8316