SOME OBSERVATIONS ABOUT THE SPACE OF WEAKLY CONTINUOUS FUNCTIONS FROM A COMPACT SPACE INTO A BANACH SPACE

DOI10.1080/16073606.1992.9631701zbMath0769.46031OpenAlexW2031017750MaRDI QIDQ4034553

Joseph Diestel, Luis Rodríguez-Piazza, Victor I. Lomonosov, Juan Arias de Reyna

Publication date: 16 May 1993

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1992.9631701

zbMATH Keywords

Schur spaceextreme pointsSchur property\(M\)-idealcompact metric spacecomplemented subspacesfirst Baire classregular Borel measureBochner integrablepoint functionalsSchur approximation propertyspace of weakly continuous functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Spaces of operators; tensor products; approximation properties (46B28) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Duality and reflexivity in normed linear and Banach spaces (46B10) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (12)

SOME REMARKS ON THE SCHUR APPROXIMATION PROPERTY ⋮ On a new geometric property for Banach spaces ⋮ ON THE RIEMANN INTEGRABILITY OF WEAKLY CONTINUOUS FUNCTIONS ⋮ A NOTE ON WEAKLY CONTINUOUS BANACH SPACE VALUED FUNCTIONS ⋮ On the extremal structure of the unit balls of Banach spaces of weakly continuous functions and their duals ⋮ Some topological properties of Banach spaces and Riemann integration ⋮ Skew-product semi-flows and non-autonomous control systems ⋮ The dual quasisemigroup and controllability of evolution equations ⋮ On ideals in Banach spaces ⋮ A class of summing operators acting in spaces of operators ⋮ Almost everywhere convergent sequences of weak∗‐to‐norm continuous operators ⋮ On the continuity of the adjoint of evolution operators

Cites Work

• Unnamed Item
• An extension of Burnside's theorem to infinite-dimensional spaces
• The structure of weakly compact sets in Banach spaces

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