Weak compactness in spaces of compact operators and of vector-valued functions

DOI10.2140/pjm.1983.106.45zbMath0488.46057OpenAlexW2066297095MaRDI QIDQ1166073

Heron S. Collins, Wolfgang M. Ruess

Publication date: 1983

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1983.106.45

zbMATH Keywords

reflexivityRadon-Nikodym propertyspaces of vector-valued functionsweak conditional compactnesscompleted injective tensor productsepsilon-product of locally convex spacesJames tree spacespaces of compact linear operatorsweak sequential convergenceweighted Nachbin spaces of vector-valued continuous functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Duality theory for topological vector spaces (46A20) Spaces of linear operators; topological tensor products; approximation properties (46A32) Tensor products in functional analysis (46M05) Reflexivity and semi-reflexivity (46A25)

Related Items

Cotype and complemented copies of $c_0$ in spaces of operators, The Problem of Topologies of Grothendieck and the Class of Fréchet T-Spaces, Exposed and denting points in duals of operator spaces, Some stability properties of Arens regular bilinear operators, Weak compactness in spaces of differentiable mappings, Operator spaces containing \(c_ 0\) or \(\ell_ \infty\), Arens regularity of \(K(X)\), $k$-smoothness: an answer to an open problem, Norm-parallelism in classical \(M\)-ideals, Spaces of operators between Fréchet spaces, Orthogonality of compact operators, A viability theorem for set-valued states in a Hilbert space, Grothendieck Spaces of Compact Operators, Equality of two strongly unique minimal projection constants, Locally Asplund spaces of holomorphic functions, Unnamed Item, Extremal structure of projective tensor products, BIRKHOFF ORTHOGONALITY IN CLASSICAL -IDEALS, Extreme points in duals of operator spaces, Kolmogorov's type criteria for spaces of compact operators, Extreme Points in Duals of Complex Operator Spaces, Compactness in Spaces of Vector Valued Continuous Functions and Asymptotic Almost Periodicity, On Interpolation Spaces with the Gelfand-Phillips Property, The Daugavet equation in Banach spaces with alternatively convex-smooth duals, Dunford-Pettis property, Minimal shape-preserving projections in tensor product spaces, A class of summing operators acting in spaces of operators, Extension of Pettis integration: Pettis operators and their integrals, A note on the Schwartz space B(R(sup n)) endowed with the strict topology, Weakly uniformly continuous holomorphic functions and the approximation property, Pointwise sequential compactness and weak compactness in spaces of contents, The weak Gelfand-Phillips property in spaces of compact operators