Chain conditions and continuous mappings on \(C_ p(X)\)

zbMath0767.54003MaRDI QIDQ1199649

N. D. Kalamidas

Publication date: 16 January 1993

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1992__87__19_0

zbMATH Keywords

weak topologychain conditionscalibernorm separable Banach spaces

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Function spaces in general topology (54C35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items

Compact spaces that result from adequate families of sets ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ Special issue on \(C_p(X)\)-theory

Cites Work

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• The smallest subring of the ring \(C_ p(C_ p(X))\) containing X\(\cup \{1\}\) is everywhere dense in \(C_ p(C_ p(X))\)
• Calibers and point-finite cellularity of the space Cp(X) and some questions of S. Gul'ko and M. Hušek
• The spaces \(C_ p(X):\) decomposition into a countable union of bounded subspaces and completeness properties
• On pointwise convergence, compactness, and equicontinuity. II
• On injective Banach spaces and the spaces \(L^ \infty(\mu)\) for finite measures \(\mu\)
• Function spaces in the topology of pointwise convergence, and compact sets