Complemented subspaces of locally convex direct sums of Banach spaces

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dc.creatorChigogidze, Alex
dc.date2000-02-28
dc.date.accessioned2026-07-07T04:34:07Z
dc.date.available2026-07-07T04:34:07Z
dc.descriptionWe 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 countable subsums. As a corollary we prove that a complemented subspace of a locally convex direct sum of arbitrary collection of $\ell_{1}(Γ)$-spaces is isomorphic to a locally convex direct sum of $\ell_{1}(Γ)$-spaces.
dc.identifierhttps://arxiv.org/abs/math/0002241
dc.identifierhttp://arxiv.org/abs/math/0002241
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58779
dc.subjectFunctional Analysis
dc.subject46M10, 46B25
dc.titleComplemented subspaces of locally convex direct sums of Banach spaces
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