منابع مشابه
Some Version of Gowers’ Dichotomy for Banach Spaces
In this paper another version of Gowers’ dichotomy for Banach spaces, involving topologies of special type on the Cartesian product of Banach spaces, is presented. These topologies are closely related to the game used by W. T. Gowers in his proof of the dichotomy.
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We give a new approach to the Ramsey-type results of Gowers on block bases in Banach spaces and apply our results to prove the Gowers dichotomy in F-spaces.
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We prove that the equivalence of pure states of a separable C*-algebra is either smooth or it continuously reduces [0, 1]N/l2 and it therefore cannot be classified by countable structures. The latter was independently proved by Kerr–Li–Pichot by using different methods. We also give some remarks on a 1967 problem of Dixmier. If E and F are Borel equivalence relations on Polish spaces X and Y , ...
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“Quasirandomness” will be described and the Quasirandomness Theorem will be used to prove Gowers’ Theorem. This article assumes some familiarity with linear algebra and elementary probability theory.
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We prove a generalization of Gowers’ theorem for FINk where, instead of the single tetris operation T : FINk → FINk−1, one considers all maps from FINk to FINj for 0 ≤ j ≤ k arising from nondecreasing surjections f : {0, 1, . . . , k + 1} → {0, 1, . . . , j + 1}. This answers a question of Bartošová and Kwiatkowska. We also prove a common generalization of such a result and the Galvin–Glazer–Hi...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1996
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-96-03718-5