The strong approximation property and the weak bounded approximation property
نویسندگان
چکیده
منابع مشابه
The Strong Approximation Property and the Weak Bounded Approximation Property
We show that the strong approximation property (strong AP) (respectively, strong CAP) and the weak bounded approximation property (respectively, weak BCAP) are equivalent for every Banach space. This gives a negative answer to Oja’s conjecture. As a consequence, we show that each of the spaces c0 and `1 has a subspace which has the AP but fails to have the strong AP.
متن کاملThe Weak Bounded Approximation Property of Pairs
We study the weak bounded approximation property (weak BAP) of pairs and show that each of the spaces c0 and `1 has a subspace having the approximation property but failing the weak BAP.
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In this paper, we study the local property of bounded hyperconvex domains Ω which we can approximative each plurisubharmonic function u ∈ F(Ω) by an increasing sequence of plurisubharmonic functions defined on strictly larger domains.
متن کاملThe Completely Bounded Approximation Property for Discrete Crossed Products
We consider the relationship between the Haagerup constants for a C-algebra and its crossed product by an amenable group. We prove equality when the group is discrete, and deduce equality when the group is compact and abelian.
متن کاملThe Completely Bounded Approximation Property for Extended Cuntz–pimsner Algebras
The extended Cuntz–Pimsner algebra E(H), introduced by Pimsner, is constructed from a Hilbert B, B–bimodule H over a C∗–algebra B. In this paper we investigate the Haagerup invariant Λ(·) for these algebras, the main result being that Λ(E(H)) = Λ(B) when H is full over B. In particular, E(H) has the completely bounded approximation property if and only if the same is true for B.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2014
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2013.12.016