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On orthomorphisms, quasi-orthomorphisms and quasi-multipliers
- Source :
-
Journal of Mathematical Analysis & Applications . Jan2006, Vol. 313 Issue 1, p120-131. 12p. - Publication Year :
- 2006
-
Abstract
- Abstract: In this paper we introduce a new concept, namely that of a quasi-orthomorphism, on a vector lattice, which generalizes the notion of an orthomorphism. We consider quasi-multipliers on ℓ-algebras and establish the relationship between quasi-orthomorphisms and quasi-multipliers. We prove that, for certain Banach algebras, the quasi-orthomorphisms form a Dedekind complete Banach f-algebra with a multiplicative identity. We conclude with a Kakutani type representation theorem for . [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICS
*MATHEMATICAL analysis
*BANACH spaces
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 313
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 19009520
- Full Text :
- https://doi.org/10.1016/j.jmaa.2005.05.074