On f-Linearity and f-Orthomorphisms

On f-Linearity and f-Orthomorphisms

Let A be an f-algebra with unit and L,M be two f-modules on A. We define f-orthomorphisms from L into M and show that these operators coincide with the f-linear operators whenever M is topologically full with respect to A. We show that f-orthomorphisms enjoy many of the properties of orthomorphisms....

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Veröffentlicht in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2000-01, Vol.4 (3), p.293
1. Verfasser: Turan, Bahri
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Linear programming
Mathematical models
Studies
Online-Zugang:Volltext
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Zusammenfassung:Let A be an f-algebra with unit and L,M be two f-modules on A. We define f-orthomorphisms from L into M and show that these operators coincide with the f-linear operators whenever M is topologically full with respect to A. We show that f-orthomorphisms enjoy many of the properties of orthomorphisms. [PUBLICATION ABSTRACT]
ISSN:1385-1292
1572-9281
DOI:10.1023/A:1009862124161