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A note on the weak topology of spaces C_k(X) of continuous functions
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SYSNO ASEP 0542801 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A note on the weak topology of spaces C_k(X) of continuous functions Author(s) Kąkol, Jerzy (MU-W) SAI, RID, ORCID
Moll-López, S. (ES)Article number 125 Source Title Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales, Seria A: Matemáticas. - : Springer - ISSN 1578-7303
Roč. 115, č. 3 (2021)Number of pages 10 s. Language eng - English Country ES - Spain Keywords weak topology ; convex space Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GF20-22230L GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000758963500001 EID SCOPUS 85106926275 DOI 10.1007/s13398-021-01051-1 Annotation It is well known that the property of being a bounded set in the class of topological vector spaces E is not a topological property, where a subset B⊂E is called a bounded set if every neighbourhood of zero U in E absorbs B. The paper deals with the problem which topological properties of bounded sets for the space Ck(X) (of continuous real-valued functions on a Tychonoff space X with the compact-open topology) endowed with the weak topology of Ck(X) can be transferred to bounded sets of Ck(Y) endowed with the weak topology, assuming that the corresponding weak topologies of both Ck(X) and Ck(Y) are homeomorphic. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2022 Electronic address https://doi.org/10.1007/s13398-021-01051-1
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