Pseudointegral operators in the spaces of measurable vector-valued functions

DOI10.1007/BF00974497zbMath0727.47041MaRDI QIDQ803522

K. T. Tibilov

Publication date: 1990

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

linear majorizable operatorpseudo-integral representationspace of measurable vector functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) Integral operators (47G10)

Cites Work

• Representation of compact and weakly compact operators on the space of Bochner integrable functions
• Operator algebras and invariant subspaces
• Characterization and order properties of pseudo-integral operators
• Application of methods of the theory of order-bounded operators to the theory of operators inL^p-spaces
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