Abstract
In this paper we study structural properties of infinite dimensional Banach spaces. The classical understanding of such properties was developed in the 50s and 60s; goals of the theory had direct roots in and were natural expansion of problems from the times of Banach. Most of surveys and books of that period directly or indirectly discussed such problems as the existence of unconditional basic sequences, the c0-ℓ 1-reflexive subspace problem and others. However, it has been realized recently that such a nice and elegant structural theory does not exist. Recent examples (or counter-examples to classical problems) due to Gowers and Maurey [GM] and Gowers [G.2], [G.3] showed much more diversity in the structure of infinite dimensional subspaces of Banach spaces than was expected.
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© 1995 Birkhäuser Verlag Basel/Switzerland
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Maurey, B., Milman, V., Tomczak-Jaegermann, N. (1995). Asymptotic Infinite-Dimensional Theory of Banach Spaces. In: Lindenstrauss, J., Milman, V. (eds) Geometric Aspects of Functional Analysis. Operator Theory Advances and Applications, vol 77. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9090-8_15
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DOI: https://doi.org/10.1007/978-3-0348-9090-8_15
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