We present a class of non-negative functions, acting on a solid vector subspace X of L0, enjoying the following property: each member of the class determines on X a locally solid topological Riesz space structure which is continuously embedded into L0. These functions are neither necessarily monotone, nor subadditive. Special instances are provided by function norms and quasi-norms on X.
Functions determining locally solid topological Riesz spaces continuously embedded in L0 / Cavaliere, P.; De Lucia, P.; De Simone, A.. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - 26:2(2015), pp. 151-160. [10.4171/RLM/699]
Functions determining locally solid topological Riesz spaces continuously embedded in L0
De Lucia P.;De Simone A.
2015
Abstract
We present a class of non-negative functions, acting on a solid vector subspace X of L0, enjoying the following property: each member of the class determines on X a locally solid topological Riesz space structure which is continuously embedded into L0. These functions are neither necessarily monotone, nor subadditive. Special instances are provided by function norms and quasi-norms on X.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
