Displaying similar documents to “Fix-finite approximation property in normed vector spaces.”

The E and K functionals for the pair (X (A), l(B)).

Stefan Ericsson (1997)

Collectanea Mathematica

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We prove some exact formulas for the E and K functionals for pairs of the type (X(A),l sub ∞ (B)) where X has the lattice property. These formulas are extensions of their well-known counterparts in the scalar valued case. In particular we generalize formulas by Pisier and by the present author.

Solidity in sequence spaces.

I. J. Maddox (1991)

Revista Matemática de la Universidad Complutense de Madrid

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Relations are established between several notions of solidity in vector-valued sequence spaces, and a generalized Köthe-Toeplitz dual space is introduced in the setting of a Banach algebra.

A selection theorem of Helly type and its applications

Ehrhard Behrends, Kazimierz Nikodem (1995)

Studia Mathematica

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We prove an abstract selection theorem for set-valued mappings with compact convex values in a normed space. Some special cases of this result as well as its applications to separation theory and Hyers-Ulam stability of affine functions are also given.

A rigid space admitting compact operators

Paul Sisson (1995)

Studia Mathematica

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A rigid space is a topological vector space whose endomorphisms are all simply scalar multiples of the identity map. The first complete rigid space was published in 1981 in [2]. Clearly a rigid space is a trivial-dual space, and admits no compact endomorphisms. In this paper a modification of the original construction results in a rigid space which is, however, the domain space of a compact operator, answering a question that was first raised soon after the existence of complete rigid...