Products in almost $f$-algebras

Karim Boulabiar

Displaying similar documents to “Products in almost $f$-algebras”

The triadjoint of an orthosymmetric bimorphism

Mohamed Ali Toumi (2010)

Czechoslovak Mathematical Journal

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Let $A$ and $B$ be two Archimedean vector lattices and let ${(A^{'})}_{n}^{'}$ and ${(B^{'})}_{n}^{'}$ be their order continuous order biduals. If $Ψ : A \times A \to B$ is a positive orthosymmetric bimorphism, then the triadjoint $Ψ^{* * *} : {(A^{'})}_{n}^{'} \times {(A^{'})}_{n}^{'} \to {(B^{'})}_{n}^{'}$ of $Ψ$ is inevitably orthosymmetric. This leads to a new and short proof of the commutativity of almost $f$ -algebras.

Contractive projections and Seever’s identity in complex $f$ -algebras

Fatma Hadded (2003)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we give necessary and sufficient conditions in order that a contractive projection on a complex $f$ -algebra satisfies Seever’s identity.

On algebra homomorphisms in complex almost $f$ -algebras

Abdelmajid Triki (2002)

Commentationes Mathematicae Universitatis Carolinae

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Extensions of order bounded linear operators on an Archimedean vector lattice to its relatively uniform completion are considered and are applied to show that the multiplication in an Archimedean lattice ordered algebra can be extended, in a unique way, to its relatively uniform completion. This is applied to show, among other things, that any order bounded algebra homomorphism on a complex Archimedean almost $f$ -algebra is a lattice homomorphism.

Displaying similar documents to “Products in almost $f$-algebras”

The triadjoint of an orthosymmetric bimorphism

Contractive projections and Seever’s identity in complex f -algebras

On algebra homomorphisms in complex almost f -algebras

Contractive projections and Seever’s identity in complex $f$ -algebras

On algebra homomorphisms in complex almost $f$ -algebras