Three-space-problem for inductively (semi)-reflexive locally convex spaces
نویسندگان
چکیده
منابع مشابه
The three space problem for locally bounded F-spaces
Let X be an F-space, and let Y be a subspace of X of dimension one, with X/Y = lp (0 p oo). Provided p ~ 1, X ~lp; however if p = 1, we construct an example to show that X need not be locally convex. More generally we show that Y is any closed subspace of X, then if Y is an r-Banach space (0 r:5 1) and XI Y is a p-Banach space with p r S 1 then X is a p-Banach space; if Y and XI Y are B-convex ...
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ژورنال
عنوان ژورنال: Publications de l'Institut Mathematique
سال: 2005
ISSN: 0350-1302,1820-7405
DOI: 10.2298/pim0591001r