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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2003 Volume 9, Issue 2, Pages 3–56 (Mi fpm728)

This article is cited in 4 papers

$\lambda$-topologies on function spaces

N. V. Velichko

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: This paper is devoted to the spaces $C_{\lambda}(X)$ of all continuous real-valued functions on $X$ endowed with arbitrary $\lambda$-topologies. This is a fairly complete survey of the results obtained by the author in the following domains of the theory of $\lambda$-topologies: cardinal functions; locally convex properties; weak and strong topologies; dual spaces; lattices of $\lambda$-topologies; completeness.

UDC: 517.982.272+515.122.55


 English version:
Journal of Mathematical Sciences (New York), 2005, 131:4, 5701–5737

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