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46-XX Functional analysis
46Axx Topological linear spaces and related structures
46A40 Ordered topological linear spaces, vector lattices

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Displaying 61 – 63 of 63

Orthogonalkompakte Teilmengen topologischer Vektorverbände.

Burkhard Kühn (1980/1981)

Manuscripta mathematica

Orthomorphisms and Boolean Algebras of Projections.

Peter G. Dodds, Ben de Pagter (1984)

Mathematische Zeitschrift

Orthosymmetric bilinear map on Riesz spaces

Elmiloud Chil, Mohamed Mokaddem, Bourokba Hassen (2015)

Commentationes Mathematicae Universitatis Carolinae

Let $E$ be a Riesz space, $F$ a Hausdorff topological vector space (t.v.s.). We prove, under a certain separation condition, that any orthosymmetric bilinear map $T : E \times E \to F$ is automatically symmetric. This generalizes in certain way an earlier result by F. Ben Amor [On orthosymmetric bilinear maps, Positivity 14 (2010), 123–134]. As an application, we show that under a certain separation condition, any orthogonally additive homogeneous polynomial $P : E \to F$ is linearly represented. This fits in the type of results by...

Currently displaying 61 – 63 of 63

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