On the weak and pointwise topologies in function spaces

DOI10.1007/s13398-015-0248-0zbMath1362.54017arXiv1504.04554OpenAlexW2762349277WikidataQ59473808 ScholiaQ59473808MaRDI QIDQ326713

Mikołaj Krupski

Publication date: 12 October 2016

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04554

zbMATH Keywords

weak topologyfunction spacepointwise convergence topology

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items (5)

Continuous linear images of spaces \(C_p(X)\) with the weak topology ⋮ On the weak and pointwise topologies in function spaces. II. ⋮ Feral dual spaces and (strongly) distinguished spaces \(C(X)\) ⋮ On linear continuous operators between distinguished spaces \(C_p(X)\) ⋮ A note on Banach spaces \(E\) for which \(E_w\) is homeomorphic to \(C_p(X)\)

Cites Work

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• On properties of metrizable spacesXpreserved byt‐equivalence
• Functional analysis and infinite-dimensional geometry

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