On Banach spaces with the Gelfand-Phillips property

DOI10.1007/BF01229808zbMath0629.46020OpenAlexW2913875615MaRDI QIDQ1093848

Drewnowski, Lech

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173796

zbMATH Keywords

Gelfand-Phillips propertyinjective tensor productSchauder decompositionspace of all compact operatorslimited subsetsnorming weak*-conditionally compact subset

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Spaces of linear operators; topological tensor products; approximation properties (46A32) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Tensor products in functional analysis (46M05)

Related Items (25)

On the class of disjoint limited completely continuous operators ⋮ On Banach spaces with Mazur's property ⋮ A Gelfand-Phillips Property with Respect to the Weak Topology ⋮ Banach spaces with the (strong) Gelfand-Phillips property ⋮ On \(p\)-convergent operators on Banach lattices ⋮ Topologies and bornologies determined by operator ideals ⋮ On the class of weak\(^*\) Dunford-Pettis operators ⋮ Limited Sets in C(K)‐Spaces and Examples Concerning the Gelfand‐Phillips‐Property ⋮ On quantitative Gelfand-Phillips property and Phillips property ⋮ Locally convex spaces with the strong Gelfand-Phillips property ⋮ Positively limited sets in Banach lattices ⋮ Unnamed Item ⋮ A new class of Banach spaces and its relation with some geometric properties of Banach spaces ⋮ Non-linear operators and differentiability of Lipschitz functions ⋮ The property (d) and the almost limited completely continuous operators ⋮ On weak*-extensible Banach spaces ⋮ Polynomials and limited sets ⋮ On Banach spaces with the Gelfand-Phillips property. II ⋮ On sequential properties of Banach spaces, spaces of measures and densities ⋮ The strong Gelfand-Phillips property in Banach lattices ⋮ On limitedness in locally convex spaces ⋮ On weak-starp-convergent operators ⋮ Open problems in Banach spaces and measure theory ⋮ Strongly limited (Dunford-Pettis) completely continuous subspaces of operator ideals ⋮ Generalized limited sets with applications to spaces of type \(\ell_{\infty}(X)\) and \(c_0(X)\)

Cites Work

• On the Gelfand-Phillips property in \(\epsilon\)-tensor products
• On the Gelfand-Phillips property in some spaces of continuous vector valued functions
• Limited Operators and Strict Cosingularity
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