On the extension of operators with range in a $C(K)$ space
نویسندگان
چکیده
منابع مشابه
On the Extension of Operators with Range in a C(k) Space
Theorem. For X= C(K) the following four statements are equivalent. (i) For every two Banach spaces ZD Y with dim(Z/ Y) = 1 and every operator T from Y into X with a separable range there is an extension T of T from Z into X with \\t\\=\\T\\. •J J 11 11 11 M (ii) For every two Banach spaces ZZ)Y with dim Y =2, dim Z = 3 and every operator T from Y into X there is an extension f of T from Z into ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1964
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1964-0167822-4