Topological characterizations of S-Linearity

Topological characterizations of S-Linearity

We give several characterizations of basic concepts of S-linear algebra in terms of weak duality on topological vector spaces. On the way, some classic results of Functional Analysis are reinterpreted in terms of S-linear algebra, by an application-oriented fashion. The results are required in the S...

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Main Author: Carfi', David
Format: Article
Language:English
Published: Accademia Peloritana dei Pericolanti 2007-10-01
Series:Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
Online Access:http://dx.doi.org/10.1478/C1A0702005
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spelling doaj-4e948fd5905846dfb29fb68cccab0c582020-11-25T01:02:21ZengAccademia Peloritana dei PericolantiAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali0365-03591825-12422007-10-01LXXXV2c1a070200510.1478/C1A0702005Topological characterizations of S-LinearityCarfi', DavidWe give several characterizations of basic concepts of S-linear algebra in terms of weak duality on topological vector spaces. On the way, some classic results of Functional Analysis are reinterpreted in terms of S-linear algebra, by an application-oriented fashion. The results are required in the S-linear algebra formulation of infinite dimensional Decision Theory and in the study of abstract evolution equations in economical and physical Theories. http://dx.doi.org/10.1478/C1A0702005
collection DOAJ
language English
format Article
sources DOAJ
author Carfi', David
spellingShingle Carfi', David
Topological characterizations of S-Linearity
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
author_facet Carfi', David
author_sort Carfi', David
title Topological characterizations of S-Linearity
title_short Topological characterizations of S-Linearity
title_full Topological characterizations of S-Linearity
title_fullStr Topological characterizations of S-Linearity
title_full_unstemmed Topological characterizations of S-Linearity
title_sort topological characterizations of s-linearity
publisher Accademia Peloritana dei Pericolanti
series Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
issn 0365-0359
1825-1242
publishDate 2007-10-01
description We give several characterizations of basic concepts of S-linear algebra in terms of weak duality on topological vector spaces. On the way, some classic results of Functional Analysis are reinterpreted in terms of S-linear algebra, by an application-oriented fashion. The results are required in the S-linear algebra formulation of infinite dimensional Decision Theory and in the study of abstract evolution equations in economical and physical Theories.
url http://dx.doi.org/10.1478/C1A0702005
work_keys_str_mv AT carfidavid topologicalcharacterizationsofslinearity
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