A note on the weak topology of spaces $$C_k(X)$$ of continuous functions

Author:

Ka̧kol Jerzy,Moll-López SantiagoORCID

Funder

GACR

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Reference37 articles.

1. Arkhangel’skiĭ, A.V.: Topological function spaces. Math. and its Applications, vol. 78. Kluwer Academic Publishers, Dordrecht, Boston, London (1992)

2. Banach, S.: Théorie des oprérations linéaires. PWN, Warsaw (1932)

3. Banakh, T.: On Topological classification of normed spaces endowed with the weak topology of the topology of compact convergence. In: Banakh, T. (ed.) General Topology in Banach Spaces, pp. 171–178 . Nova Sci. Publ. (2001). arXiv:1908.09115v1

4. Banakh, T.: $$k$$-scattered spaces (2020). arXiv:1904.08969v1

5. Banakh, T., Kakol, J., Śliwa, W.: Josefson–Nissenzweig property for $$C_{p}$$-spaces. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 113(4), 3015–3030 (2019). https://doi.org/10.1007/s13398-019-00667-8

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On complemented copies of the space c0 in spaces Cp(X,E)$C_p(X,E)$;Mathematische Nachrichten;2023-09-13

2. On subspaces of spaces $$C_p(X)$$ isomorphic to spaces $$c_{0}$$ and $$\ell _{q}$$ with the topology induced from $$\mathbb {R}^{\mathbb {N}}$$;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-08-18

3. A note on Banach spaces E for which $$E_{w}$$ is homeomorphic to $$C_p(X)$$;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2022-07-13

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