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Banach spaces with a unique unconditional basis, up to permutation / [electronic resource] J. Bourgain ... [et al.].

Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 322Publication details: Providence, R.I., USA : American Mathematical Society, c1985.Description: 1 online resource (iv, 111 p.)ISBN:
  • 9781470407353 (online)
Subject(s): Additional physical formats: Banach spaces with a unique unconditional basis, up to permutation /DDC classification:
  • 510 s 515.7/32 19
LOC classification:
  • QA3 .A57 no. 322 QA322.2
Online resources:
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
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK12775

"March 1985, volume 54, number 322 (fourth of 6 numbers)."

Table of contents inserted.

Bibliography: p. 109-111.

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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