On Subspaces of c0 and Extension of Operators into C(K)-Spaces
نویسندگان
چکیده
منابع مشابه
ON SUBSPACES OF c0 AND EXTENSION OF OPERATORS INTO C(K )-SPACES
Johnson and Zippin recently showed that if X is a weak∗-closed subspace of 1 and T : X → C(K ) is any bounded operator then T can be extended to a bounded operator T̃ : 1 → C(K ). We give a converse result: if X is a subspace of 1 such that 1/X has an unconditional finitedimensional decomposition (UFDD) and every operator T : X → C(K ) can be extended to 1 then there is an automorphism τ of 1 su...
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متن کاملN ov 1 99 9 ON SUBSPACES OF c 0 AND EXTENSION OF OPERATORS INTO C ( K ) - SPACES
Johnson and Zippin recently showed that ifX is a weak∗-closed subspace of l1 and T : X → C(K) is any bounded operator then T can extended to a bounded operator T̃ : l1 → C(K). We give a converse result: if X is a subspace of l1 so that l1/X has a (UFDD) and every operator T : X → C(K) can be extended to l1 then there is an automorphism τ of l1 so that τ(X) is weak∗-closed. This result is proved ...
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mathematics
سال: 2001
ISSN: 0033-5606,1464-3847
DOI: 10.1093/qjmath/52.3.313