A. Chigogidze

activity

19992005

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4 papers · 1 filter

math.FA2000

Complemented subspaces of products of Banach spaces

Alex Chigogidze

We show that complemented subspaces of uncountable products of Banach spaces are products of complemented subspaces of countable subproducts.

math.FA2000

Complemented subspaces of locally convex direct sums of Banach spaces

Alex Chigogidze

We show that a complemented subspace of a locally convex direct sum of an uncountable collection of Banach spaces is a locally convex direct sum of complemented subspaces of counta…

math.FA1999

Uncountable direct systems and a characterization of non-separable projective $C^{*}$ -algebras

Alex Chigogidze

We introduce the concept of a direct $C_{ω}^{*}$ -system and show that every non-separable unital $C^{*}$ -algebra is the limit of essentially unique direct $C_{ω}^{*}$ -system.…

math.FA1999

Continuous homomorphisms of Arens-Michael algebras

Alex Chigogidze

It is shown that every continuous homomorphism of Arens-Michael algebras can be obtained as the limit of a morphism of certain projective systems consisting of Fréchet algebras. Ba…

Complemented subspaces of products of Banach spaces

Complemented subspaces of locally convex direct sums of Banach spaces

Uncountable direct systems and a characterization of non-separable projective C∗-algebras

Continuous homomorphisms of Arens-Michael algebras

Uncountable direct systems and a characterization of non-separable projective $C^{*}$ -algebras