A HEREDITARILY INDECOMPOSABLE ASYMPTOTIC $\ell_2$ BANACH SPACE
نویسندگان
چکیده
منابع مشابه
A Hereditarily Indecomposable Asymptotic `2 Banach Space
A famous open problem in functional analysis is whether there exists a Banach space X such that every (bounded linear) operator on X has the form λ+K where λ is a scalar and K denotes a compact operator. This problem is usually called the “scalar-plus-compact” problem [14]. One of the reasons this problem has become so attractive is that by a result of N. Aronszajn and K.T. Smith [7], if a Bana...
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A Hereditarily Indecomposable asymptotic ℓ 2 Banach space is constructed. The existence of such a space answers a question of B. Maurey and verifies a conjecture of W.T. Gowers.
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2006
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089506003193