A Non-Reflexive Banach Space Isometric With Its Second Conjugate Space
نویسندگان
چکیده
منابع مشابه
A Non-Reflexive Banach Space Isometric With Its Second Conjugate Space.
A Banach space B is isometric with a subspace of its second conjugate space B** under the "natural mapping" for which the element of B** which corresponds to the element xo of B is the linear functional Fxz defined by Fxs(f) = f(xo) for each f of B*. If every F of B** is of this form, then B is said to be reflexive and B is isometric with B** under this natural mapping. The purpose of this note...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1951
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.37.3.174