The Kakutani's precompactness lemma

DOI10.1016/j.jmaa.2004.03.070zbMath1068.46003OpenAlexW2063265350WikidataQ124851863 ScholiaQ124851863MaRDI QIDQ1883350

Jorge Mujica

Publication date: 12 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.070

zbMATH Keywords

separately continuousArzelà-Ascoli TheoremK-continuousmappings with precompact rangeprecompactness lemma

Mathematics Subject Classification ID

Continuous maps (54C05) Compactness (54D30) Infinite-dimensional holomorphy (46G20) Linear composition operators (47B33) Spaces of linear operators; topological tensor products; approximation properties (46A32) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Semimetric spaces (54E25) (k)-spaces (54D50) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items

On compact extensions of multilinear operators

Cites Work

• Compactness and collective compactness in spaces of compact operators
• Compact holomorphic mappings on Banach spaces and the approximation property
• Precompact and collectively semi-precompact sets of semi-precompact continuous linear operators
• A proof of Schauder's theorem
• Totally Bounded Sets of Precompact Linear Operators
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)
• On Compactness in Functional Analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item