Some remarks on boundedness of linear transformations from Banach spaces into Orlicz spaces of Lebesgue-Bochner measurable functions

DOI10.3792/pja/1195520266zbMath0216.34904OpenAlexW1991860184MaRDI QIDQ5619947

Publication date: 1970

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195520266

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) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Spaces of measures, convergence of measures (28A33)

Related Items (11)

A generalization of the Vidav-Jörgens perturbation theorem for semigroups and its application to transport theory ⋮ Behavior of entire functions on balls in a Banach space ⋮ Weak compactness in Köthe-Bochner spaces and Orlicz-Bochner spaces ⋮ Sequential continuity in the ball topology of a Banach space ⋮ Orthogonal sequences in non-Archimedean locally convex spaces ⋮ Periodic solutions of semilinear evolution equations ⋮ On remotality for convex sets in Banach spaces ⋮ Strong convergence theorems for nonexpansive nonself-mappings in Banach spaces ⋮ A Grothendieck-type theorem for the space of totally measurable functions ⋮ A characterization of tangential regularity ⋮ On abstract conditional expectations

Cites Work

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