HB‐subspaces and Godun sets of subspaces in Banach spaces

DOI10.1112/S002557930001202XzbMath0878.46013OpenAlexW2029522216MaRDI QIDQ4346291

Eh. F. Oya

Publication date: 8 January 1998

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s002557930001202x

zbMATH Keywords

norm preserving extensioncontinuous linear functionalequivalent renormings\(u\)-idealHB-subspace\(h\)-idealGodun set

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Isomorphic theory (including renorming) of Banach spaces (46B03) Spaces of operators; tensor products; approximation properties (46B28) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (7)

M(r, s)-ideals of compact operators ⋮ Norm-preserving extensions of functionals and denting points of convex sets ⋮ Phelps' uniqueness property for \(K(X,Y)\) in \(L(X,Y)\) ⋮ Intersection properties of ball sequences and uniqueness of Hahn–Banach extensions ⋮ Geometry of Banach spaces having shrinking approximations of the identity ⋮ Unconditional ideals of finite rank operators ⋮ On ideals of compact operators satisfying the \(M(r,s)\)-inequality

Cites Work

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• On the complemented subspaces problem
• The extension of linear functionals
• Uniqueness of Hahn-Banach Extensions and Unique Best Approximation
• Uniqueness of Hahn-Banach extensions and liftings of linear dependences.
• On the Norm of the Canonical Projection of E ∗∗∗ Onto E ⊥

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