Complemented Subspaces of Locally Convex Direct Sum of Banach Spaces
- UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
- A. "Alex" Chigogidze, Professor and Department Chair (Creator)
- Institution
- The University of North Carolina at Greensboro (UNCG )
- Web Site: http://library.uncg.edu/
Abstract: 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 countable subsums. As a corollary we prove that a complemented subspace of a locally convex direct sum of arbitrary collection of l1(Gamma)-spaces is isomorphic to a locally convex direct sum of l1(Gamma)-spaces.
Complemented Subspaces of Locally Convex Direct Sum of Banach Spaces
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Created on 1/1/2000
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Additional Information
- Publication
- arXiv:math/0002241v1 [math.FA] 28 Feb 2000
- Language: English
- Date: 2000
- Keywords
- Locally convex direct sum, Complemented subspace