Compactness and Weak Compactness in Spaces of Compact-Range Vector Measures

DOI10.4153/CJM-1984-057-9zbMath0593.46028MaRDI QIDQ3723118

Wolfgang M. Ruess, William H. Graves

Publication date: 1984

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

zbMATH Keywords

measuresoperatorsRadon-Nikodym propertyuniversal measure topologyextreme points of the unit ball of the dual of a space of compactextreme points of the unit ball of the dual of a space of compact operatorsgDF-topologymeasure-operator identificationPettis- integrable functionsrepresentations of the duals of various spaces of X-valuedrepresentations of the duals of various spaces of X-valued measuresspace of all unconditionally convergent seriesstrong and weak compactness in spaces of measures

Mathematics Subject Classification ID

Spaces of measures (46E27) Convex sets and cones of operators (47L07) Derivatives of functions in infinite-dimensional spaces (46G05) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items

Representing compact sets of compact operators and of compact range vector measures, Operator spaces containing \(c_ 0\) or \(\ell_ \infty\), Compactness and collective compactness in spaces of compact operators, Extension of Pettis integration: Pettis operators and their integrals, Open problems in Banach spaces and measure theory, Pointwise sequential compactness and weak compactness in spaces of contents, Weak precompactness in the space of Pettis integrable functions, Precompactness in the space of Pettis integrable functions