Bounded sets in the range of anX∗∗-valued measure with bounded variation
Autor: | B. Marchena, C. Piñeiro |
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Rok vydání: | 2000 |
Předmět: | |
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 |
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