On Kolmogorov-Tamarkin and M. Riesz compactness criteria in function spaces over a locally compact group

DOI10.1016/0022-247X(82)90091-9zbMath0498.46003MaRDI QIDQ1171242

Nicolae Dinculeanu

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Lebesgue spacesconditionally compactPettis space

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) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (9)

Weak compactness and uniform convergence of operators in spaces of Bochner integrable functions ⋮ Weak and pseudo-solutions of an arbitrary (fractional) orders differential equation in nonreflexive Banach space ⋮ Multipliers and translation invariant operators ⋮ A characterization of norm compactness in the Bochner space \(L^{p}(G;B)\) for an arbitrary locally compact group \(G\) ⋮ On relative compactness of a set of abstract functions in a scale of Banach spaces ⋮ On solutions of fractional order boundary value problems with integral boundary conditions in Banach spaces ⋮ Kernel-type compactness criteria in \(L^ E_ p\) spaces ⋮ Kolmogorov and Riesz type criteria of compactness in Köthe spaces of vector valued functions ⋮ Gordon's Conjecture 3: Fourier transforms in the hyperfinite setting

Cites Work

• Conditional expectations and weak and strong compactness in spaces of Bochner integrable functions
• Weak compactness in spaces of Bochner integrable functions and applications
• Strong additivity, absolute continuity, and compactness in spaces of measures
• On the compactness of the space 𝐿_{𝑝}
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On Kolmogorov-Tamarkin and M. Riesz compactness criteria in function spaces over a locally compact group