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Generalization of Riesz Representation theorem with sigma topology

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Date Issued:
1993
Summary:
The Riesz Representation is of great importance in analysis. But in certain situations such as in infinite dimensional Hilbert spaces it fails to apply. Here we present an extensive proof of a relevant generalization using sigma topology as discovered by Edwin Beggs.
Title: Generalization of Riesz Representation theorem with sigma topology.
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Name(s): Mohandass, Girija
Florida Atlantic University, Degree Grantor
Schroeck, Franklin E., Thesis Advisor
Type of Resource: text
Genre: Electronic Thesis Or Dissertation
Issuance: monographic
Date Issued: 1993
Publisher: Florida Atlantic University
Place of Publication: Boca Raton, Fla.
Physical Form: application/pdf
Extent: 62 p.
Language(s): English
Summary: The Riesz Representation is of great importance in analysis. But in certain situations such as in infinite dimensional Hilbert spaces it fails to apply. Here we present an extensive proof of a relevant generalization using sigma topology as discovered by Edwin Beggs.
Identifier: 14956 (digitool), FADT14956 (IID), fau:11736 (fedora)
Note(s): Thesis (M.S.T.)--Florida Atlantic University, 1993.
Subject(s): Riesz spaces
Linear topological spaces
Vector spaces
Held by: Florida Atlantic University Libraries
Persistent Link to This Record: http://purl.flvc.org/fcla/dt/14956
Sublocation: Digital Library
Use and Reproduction: Copyright © is held by the author with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
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Host Institution: FAU
Is Part of Series: Florida Atlantic University Digital Library Collections.