Functions determining locally solid topological Riesz spaces continuously embedded in
Paola Cavaliere
Università di Salerno, Fisciano (Sa), ItalyPaolo de Lucia
Università degli Studi di Napoli Federico II, ItalyAnna De Simone
Università degli Studi di Napoli Federico II, Italy
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Abstract
We present a class of non-negative functions, acting on a solid vector subspace of , enjoying the following property: each member of the class determines on a locally solid topological Riesz space structure which is continuously embedded into . These functions are neither necessarily monotone, nor subadditive. Special instances are provided by function norms and quasi-norms on .
Cite this article
Paola Cavaliere, Paolo de Lucia, Anna De Simone, Functions determining locally solid topological Riesz spaces continuously embedded in . Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 26 (2015), no. 2, pp. 151–160
DOI 10.4171/RLM/699