A Hölder-type inequality for positive functionals on -algebras.
Page 1 Next
Boulabiar, Karim (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Jiří Močkoř (1979)
Archivum Mathematicum
Joan Trías Pairó (1980)
Stochastica
Non-Archimedean f-rings need not be p-distributive. Moreover, if {di|i} is a subset of a non-Archimedean f-ring and a ≥ 0, the elements a vi di and vi adi need not be equal. We prove, however, that the difference is an infinitely small element when the ring has a strong unity.
Jiří Močkoř (1977)
Czechoslovak Mathematical Journal
Stefan Veldsman (1987)
Commentationes Mathematicae Universitatis Carolinae
Boulabiar, Karim, Buskes, Gerard, Sirotkin, Gleb (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Angelo Bella, Jorge Martinez, Scott D. Woodward (2001)
Czechoslovak Mathematical Journal
A DC-space (or space of dense constancies) is a Tychonoff space such that for each there is a family of open sets , the union of which is dense in , such that , restricted to each , is constant. A number of characterizations of DC-spaces are given, which lead to an algebraic generalization of the concept, which, in turn, permits analysis of DC-spaces in the language of archimedean -algebras. One is led naturally to the notion of an almost DC-space (in which the densely constant functions...
Stuart A. Steinberg (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
Using lattice-ordered algebras it is shown that a totally ordered field which has a unique total order and is dense in its real closure has the property that each of its positive semidefinite rational functions is a sum of squares.
František Machala (1980)
Czechoslovak Mathematical Journal
František Machala (1980)
Czechoslovak Mathematical Journal
M. Satyanarayana (1986)
Semigroup forum
Karim Boulabiar, Jamel Jabeur (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
This work discusses the problem of Arens regularity of a lattice-ordered ring. In this prospect, a counterexample is furnished to show that without extra conditions, a lattice-ordered ring need not be Arens regular. However, as shown in this paper, it turns out that any -ring in the sense of Birkhoff and Pierce is Arens regular. This result is then used and extended to the more general setting of almost -rings introduced again by Birkhoff.
Jan Paseka, Zdena Riečanová (2009)
Kybernetika
We show some families of lattice effect algebras (a common generalization of orthomodular lattices and MV-effect algebras) each element E of which has atomic center C(E) or the subset S(E) of all sharp elements, resp. the center of compatibility B(E) or every block M of E. The atomicity of E or its sub-lattice effect algebras C(E), S(E), B(E) and blocks M of E is very useful equipment for the investigations of its algebraic and topological properties, the existence or smearing of states on E, questions...
Richard N. Ball, Joanne Walters-Wayland (2002)
A.W. Wickstead (1988/1989)
Mathematische Zeitschrift
Donald Joseph Hansen (1973)
Commentationes Mathematicae Universitatis Carolinae
Johnny A. Johnson (1977)
Czechoslovak Mathematical Journal
Alexander Abian (1980)
Czechoslovak Mathematical Journal
Acharyya, S.K., Chattopadhyay, K.C., Ghosh, Partha Pratim (2004)
International Journal of Mathematics and Mathematical Sciences
Fatma Hadded (2003)
Commentationes Mathematicae Universitatis Carolinae
In this paper we give necessary and sufficient conditions in order that a contractive projection on a complex -algebra satisfies Seever’s identity.
Page 1 Next