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Title Banach spaces with a unique unconditional basis, up to permutation / J. Bourgain [and others]
Published Providence, R.I., USA : American Mathematical Society, ©1985

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Description 1 online resource (iv, 111 pages)
Series Memoirs of the American Mathematical Society, 1947-6221 ; v. 322
Memoirs of the American Mathematical Society ; no. 322. 0065-9266
Contents 0. Introduction 1. Unconditional bases of finite direct sums of Banach spaces 2. Infinite direct sums of Hilbert spaces 3. Infinite direct sums of $\ell _1$-spaces in the sense of $c_0$, Part I 4. Infinite direct sums of $\ell _1$-spaces in the sense of $c_0$, Part II 5. Infinite direct sums in the sense of $\ell _2$ 6. Prime spaces 7. Tsirelson's space 8. Complemented subspaces of $(\sum ̂\infty _{n=1} \oplus \ell ̂n_2)_1$ and $(\sum ̂\infty _{n=1} \oplus \ell ̂n_\infty)_1$ 9. "Large" subspaces of $(\ell _q \oplus \ell _q \oplus \cdots \oplus \ell _q \oplus \cdots)_p$ 10. Complemented subspaces of $(\ell _2 \oplus \ell _2 \oplus \cdots \oplus \ell _2 \oplus \cdots)_1$ and $(c_0 \oplus c_0 \oplus \cdots \oplus c_0 \oplus \cdots)_1$ 11. Open problems 12. References
Notes "March 1985, volume 54, number 322 (fourth of 6 numbers)."
Table of contents inserted
Bibliography Includes bibliographical references (pages 109-111)
Notes Print version record
Subject Banach spaces.
Bases (Linear topological spaces)
MATHEMATICS -- Essays.
MATHEMATICS -- Pre-Calculus.
MATHEMATICS -- Reference.
Banach spaces
Bases (Linear topological spaces)
Form Electronic book
Author Bourgain, Jean, 1954-2018.
American Mathematical Society
ISBN 9781470407353
1470407353