Phelps' uniqueness property for \(K(X,Y)\) in \(L(X,Y)\)

DOI10.1216/rmjm/1181069389zbMath1145.46012OpenAlexW2050428619MaRDI QIDQ2477912

Märt Põldvere

Publication date: 14 March 2008

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1181069389

zbMATH Keywords

\(M\)-idealsspaces of compact operatorsproperty~\(U\)

Mathematics Subject Classification ID

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

Related Items (3)

M(r, s)-ideals of compact operators ⋮ Norm-preserving extensions of functionals and denting points of convex sets ⋮ Uniqueness of norm-preserving extensions of functionals on the space of compact operators

Cites Work

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• Geometry of operator spaces
• Uniqueness of Hahn-Banach Extensions and Unique Best Approximation
• Uniqueness of Hahn-Banach extensions and liftings of linear dependences.
• 𝑀-ideals of compact operators are separably determined
• HB‐subspaces and Godun sets of subspaces in Banach spaces
• Ideals of compact operators
• Property (wM*) and the unconditional metric compact approximation property
• Intersection properties of ball sequences and uniqueness of Hahn–Banach extensions
• Geometry of Banach spaces having shrinking approximations of the identity
• Spaces of compact operators and their dual spaces

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