Separated sets and Auerbach systems in Banach spaces
نویسندگان
چکیده
منابع مشابه
Functionally closed sets and functionally convex sets in real Banach spaces
Let $X$ be a real normed space, then $C(subseteq X)$ is functionally convex (briefly, $F$-convex), if $T(C)subseteq Bbb R $ is convex for all bounded linear transformations $Tin B(X,R)$; and $K(subseteq X)$ is functionally closed (briefly, $F$-closed), if $T(K)subseteq Bbb R $ is closed for all bounded linear transformations $Tin B(X,R)$. We improve the Krein-Milman theorem ...
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متن کاملfunctionally closed sets and functionally convex sets in real banach spaces
let $x$ be a real normed space, then $c(subseteq x)$ is functionally convex (briefly, $f$-convex), if $t(c)subseteq bbb r $ is convex for all bounded linear transformations $tin b(x,r)$; and $k(subseteq x)$ is functionally closed (briefly, $f$-closed), if $t(k)subseteq bbb r $ is closed for all bounded linear transformations $tin b(x,r)$. we improve the krein-milman theorem ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2020
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/8160