FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2003, VOLUME 9, NUMBER 2, PAGES 3-56

$$l-topologies on function spaces

N. V. Velichko

Abstract

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

Location: http://mech.math.msu.su/~fpm/eng/k03/k032/k03201h.htm.
Last modified: May 19, 2004.