A note on compactness in Banach spaces

DOI10.1007/BF01165786zbMath0497.46008MaRDI QIDQ1170727

Heinz Cremers, Dieter Kadelka

Publication date: 1982

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154882

zbMATH Keywords

Arzela-Ascoli theoremapproximation principlecompactness criteria in a Banach spaceKolmogorov-Tulajkov theorem

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) Classical Banach spaces in the general theory (46B25) Banach spaces of continuous, differentiable or analytic functions (46E15) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (2)

Kernel-type compactness criteria in \(L^ E_ p\) spaces ⋮ On weak convergence of stochastic processes with Lusin path spaces

Cites Work

• Conditional expectations and weak and strong compactness in spaces of Bochner integrable functions
• A limit theorem for measurable random processes and its applications
• Existence of optimal stochastic controls under partial observation
• On a Theorem of Lyapunov
• Banach spaces of Lipschitz functions and vector-valued Lipschitz functions
• Banach Spaces of Lipschitz Functions and Vector-Valued Lipschitz Functions
• On the compactness of a class of functions
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