Smooth points in operator spaces and some Bishop-Phelps-Bollobás type theorems in Banach spaces

DOI10.7153/oam-2019-13-32zbMath1440.46010arXiv1802.07527OpenAlexW2963845509MaRDI QIDQ5243800

Debmalya Sain

Publication date: 19 November 2019

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07527

zbMATH Keywords

smooth pointssmooth operatorsnorm attainmentBishop-Phelps-Bollobás

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Isometric theory of Banach spaces (46B04)

Related Items (8)

The Bishop–Phelps–Bollobás Theorem: An Overview ⋮ Norm-attaining operators which satisfy a Bollobás type theorem ⋮ Local Bishop-Phelps-Bollobás properties ⋮ On uniform Bishop-Phelps-Bollobás type approximations of linear operators and preservation of geometric properties ⋮ A complete characterization of smoothness in the space of bounded linear operators ⋮ Some Bishop-Phelps-Bollobás type properties in Banach spaces with respect to minimum norm of bounded linear operators ⋮ Strong subdifferentiability and local Bishop-Phelps-Bollobás properties ⋮ A characterization of a local vector valued Bollobás theorem

Cites Work

• Birkhoff-James orthogonality and smoothness of bounded linear operators
• The Bishop-Phelps-Bollobás theorem for operators
• On the norm attainment set of a bounded linear operator
• Some kind of Bishop-Phelps-Bollobás property
• A proof that every Banach space is subreflexive
• A Banach Space which is Fully 2-Rotund but not Locally Uniformly Rotund
• There is no operatorwise version of the Bishop–Phelps–Bollobás property
• An Extension to the Theorem of Bishop and Phelps

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