The basis in separable Banach spaces Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/rf55zb984

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  • It is well known that every Banach space with a Schauder basis is separable. However, whether the converse of the above statement is true is not known. It is therefore the purpose of this thesis to investigate the question of under what conditions an arbitrary, separable, Banach space has a basis. Some interesting criteria are developed for the existence of a basis in a Banach space. Some conditions are also developed for the existence of a basis in conjugate spaces.
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  • File scanned at 300 ppi using Capture Perfect 3.0 on a Canon DR-9050C in PDF format. CVista PdfCompressor 5.0 was used for pdf compression and textual OCR.
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2014-04-08T20:32:05Z (GMT) No. of bitstreams: 1 GepnerJamesR1968.pdf: 358277 bytes, checksum: 43befc0a35e6f567ee3c47f0a2677984 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2014-04-03T13:42:16Z (GMT) No. of bitstreams: 1 GepnerJamesR1968.pdf: 358277 bytes, checksum: 43befc0a35e6f567ee3c47f0a2677984 (MD5)
  • description.provenance : Made available in DSpace on 2014-04-08T20:32:05Z (GMT). No. of bitstreams: 1 GepnerJamesR1968.pdf: 358277 bytes, checksum: 43befc0a35e6f567ee3c47f0a2677984 (MD5) Previous issue date: 1967-12-07
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