Linear Hahn–Banach extension operators

DOI10.1017/S0013091500006908zbMath0648.46004OpenAlexW2061750446MaRDI QIDQ3793174

David Yost, Brailey Sims

Publication date: 1989

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500006908

zbMATH Keywords

Hahn-Banach extension

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (20)

Ideals of operators and the metric approximation property ⋮ Lipschitz retractions and complementation properties of Banach spaces ⋮ Norm-attaining lattice homomorphisms ⋮ On a separable weak version of the bounded approximation property ⋮ On a new geometric property for Banach spaces ⋮ Unnamed Item ⋮ Enriched purity and presentability in Banach spaces ⋮ Some remarks on Phelps property $U$ of a Banach space into \(C(K)\) spaces ⋮ The asymptotically commuting bounded approximation property of Banach spaces ⋮ Borel complexity and computability of the Hahn-Banach theorem ⋮ Geometry of spaces of compact operators ⋮ Amenability of representations and invariant Hahn-Banach theorems ⋮ Ideals of compact operators ⋮ On ideals in Banach spaces ⋮ A remark on Defant-Floret-Lima-Oja's conjecture ⋮ Banach spaces with projectional skeletons ⋮ Geometry of spaces of polynomials ⋮ Bounded approximation properties via integral and nuclear operators ⋮ Relatively weakly open convex combinations of slices and scattered \(\mathrm{C}^*\)-algebras ⋮ Fredholmness and index of simplest weighted singular integral operators with two slowly oscillating shifts

Cites Work

• Geometrical implications of upper semi-continuity of the duality mapping on a Banach space
• Selections linéaires associees au théorème de Hahn-Banach
• The extension of linear functionals
• Uniqueness of Hahn-Banach Extensions and Unique Best Approximation
• Uniqueness of Hahn-Banach extensions and liftings of linear dependences.
• Ultrapowers and Local Properties of Banach Spaces
• On nonseparable reflexive Banach spaces

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