Bounded sets in the range of anX∗∗-valued measure with bounded variation

Autor:	B. Marchena, C. Piñeiro
Rok vydání:	2000
Předmět:	Discrete mathematics Mathematics (miscellaneous) Bounded set Bounded function Bounded deformation Totally bounded space Cylinder set measure Bounded inverse theorem Operator space Bounded operator Mathematics
Zdroj:	International Journal of Mathematics and Mathematical Sciences. 23:21-30
ISSN:	1687-0425 0161-1712
Popis:	LetXbe a Banach space andA⊂Xan absolutely convex, closed, and bounded set. We give some sufficient and necessary conditions in order thatAlies in the range of a measure valued in the bidual spaceX∗∗and having bounded variation. Among other results, we prove thatX∗is a G. T.-space if and only ifAlies inside the range of someX∗∗-valued measure with bounded variation wheneverXAis isomorphic to a Hilbert space.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bb03c5db2e2b4b17d0f338f6f93f515a https://doi.org/10.1155/s0161171200001708 Zobrazit plný text záznamu Plný text