- Title
- Complemented and uncomplemented subspaces of Banach spaces
- Creator
- Vuong, Thi Minh Thu
- Date
- 2006
- Type
- Text; Thesis; Masters
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/51906
- Identifier
- vital:1086
- Abstract
- "A natural process in examining properties of Banach spaces is to see if a Banach space can be decomposed into simpler Banach spaces; in other words, to see if a Banach space has complemented subspaces. This thesis concentrates on three main aspects of this problem: norm of projections of a Banach space onto its finite dimensional subspaces; a class of Banach spaces, each of which has a large number of infinite dimensional complemented subspaces; and methods of finding Banach spaces which have uncomplemented subspaces, where the subspaces and the quotient spaces are chosen as well-known classical sequence spaces (finding non-trivial twisted sums)." --Abstract.; Master of Mathematical Sciences
- Publisher
- University of Ballarat
- Rights
- Copyright Thi Minh Thu Vuong
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- Banach space; Normed linear spaces; Operator spaces; Australian Digital Thesis
- Full Text
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