Yoneda's Lemma and Abstract Representations in Functional Analysis

Using Yoneda's Lemma one obtains two abstract representations of spaces of linear and continuous operators. As a byproduct, abstract representations for topological vector spaces and their duals are obtained. In the case of normed spaces, these representations are isometries.

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Bibliographic Details
Published in:Bulletin mathématiques de la Société des sciences mathématiques de Roumanie 2002-01, Vol.45 (93) (3/4), p.171-183
Main Author: Chiţescu, Ion
Format: Article
Language:English
Subjects:
Arbitrary objects
Commutativity
Functional analysis
Functors
Mathematical functions
Morphisms
Topological vector spaces
Vector spaces
Online Access:Get full text
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Description
Summary:Using Yoneda's Lemma one obtains two abstract representations of spaces of linear and continuous operators. As a byproduct, abstract representations for topological vector spaces and their duals are obtained. In the case of normed spaces, these representations are isometries.
ISSN:1220-3874
2065-0264