Automorphisms of C(k)-spaces and Extension of Linear Operators
نویسنده
چکیده
We study the class of separable (real) Banach spaces X which can be embedded into a space C(K) (K compact metric) in only one way up to automorphism. We show that in addition to the known spaces c0 (and all it subspaces) and 1 (and all its weak∗-closed subspaces) the space c0( 1) has this property. We show on the other hand (answering a question of Castillo and Moreno) that p for 1< p <∞ fails this property. We also show that p can be embedded in a super-reflexive space X so that there is an operator T : p →C(K) which has no extension, answering a question of Zippin.
منابع مشابه
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