A semigroup analogue of the Fonf–Lin–Wojtaszczyk ergodic characterization of reflexive Banach spaces with a basis
نویسندگان
چکیده
منابع مشابه
A Characterization of Subspaces and Quotients of Reflexive Banach Spaces with Unconditional Basis
We prove that the dual or any quotient of a separable reflexive Banach space with the unconditional tree property has the unconditional tree property. Then we prove that a separable reflexive Banach space with the unconditional tree property embeds into a reflexive Banach space with an unconditional basis. This solves several long standing open problems. In particular, it yields that a quotient...
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چکیده ندارد.
15 صفحه اولQ-reflexive Banach Spaces
Let E be a Banach space. There are several natural ways in which any polynomial P ∈ P(E) can be extended to P̃ ∈ P(E), in such a way that the extension mapping is continuous and linear (see, for example, [6]). Taking the double transpose of the extension mapping P → P̃ yields a linear, continuous mapping from P(E) into P(E). Further, since P(E) is a dual space, it follows that there is a natural ...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2004
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm164-3-3