Uniqueness of Hahn-Banach extensions and liftings of linear dependences.

DOI10.7146/math.scand.a-12019zbMath0532.46003OpenAlexW2532810196MaRDI QIDQ3314357

Åsvald Lima

Publication date: 1983

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/166857

zbMATH Keywords

liftingsM-idealHB-subspaceunique norm-preserving extension

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)

Related Items (15)

Stability of unique Hahn–Banach extensions and associated linear projections ⋮ Uniqueness of Hahn-Banach extensions and some of its variants ⋮ Strong uniqueness of the extension of linear continuous functionals according to the Hahn-Banach theorem ⋮ Some remarks on Phelps property $U$ of a Banach space into \(C(K)\) spaces ⋮ Linear Hahn–Banach extension operators ⋮ HB‐subspaces and Godun sets of subspaces in Banach spaces ⋮ Multismoothness in Banach spaces ⋮ Geometrical properties of subclasses of complex \(L_ 1\)-preduals ⋮ Phelps' uniqueness property for \(K(X,Y)\) in \(L(X,Y)\) ⋮ Strong proximinality and intersection properties of balls in Banach spaces ⋮ Intersection properties of ball sequences and uniqueness of Hahn–Banach extensions ⋮ On ideals of compact operators satisfying the \(M(r,s)\)-inequality ⋮ Uncomplementability of spaces of compact operators in larger spaces of operators ⋮ The metric approximation property, norm-one projections and intersection properties of balls ⋮ Three-Space Problems for the Approximation Properties

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