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46-XX Functional analysis
46Axx Topological linear spaces and related structures

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Displaying 81 – 88 of 88

Duality of Lorentz Sequence Spaces d(w, p) (0<p<1).

Miguel A. Arino, Miguel A. Canela (1987)

Mathematische Zeitschrift

Duality of tensor products of converge-free spaces.

Gottfried Köthe (1986)

Collectanea Mathematica

Duality of vector spaces

Michael Barr (1976)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Duality Theorems for Algebras in Convenient Categories.

Sung Sa Hong, Louis D. Nel (1979)

Mathematische Zeitschrift

Duality theory for the strict topology

Denny Gulick (1974)

Studia Mathematica

Duals of spaces of compact operators

Heron Collins, Wolfgang Ruess (1982)

Studia Mathematica

Duals to weighted spaces of analytic functions.

Abuzyarova, N.F., Yulmukhametov, R.S. (2001)

Sibirskij Matematicheskij Zhurnal

Dunford-Pettis operators on the space of Bochner integrable functions

Marian Nowak (2011)

Banach Center Publications

Let (Ω,Σ,μ) be a finite measure space and let X be a real Banach space. Let $L^{Φ} (X)$ be the Orlicz-Bochner space defined by a Young function Φ. We study the relationships between Dunford-Pettis operators T from L¹(X) to a Banach space Y and the compactness properties of the operators T restricted to $L^{Φ} (X)$ . In particular, it is shown that if X is a reflexive Banach space, then a bounded linear operator T:L¹(X) → Y is Dunford-Pettis if and only if T restricted to $L^{\infty} (X)$ is $(τ (L^{\infty} (X), L ¹ (X *)), | | \cdot | |_{Y})$ -compact.

Currently displaying 81 – 88 of 88

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