Banach spaces with a unique unconditional basis, up to permutation [electronic resource] / J. Bourgain [and others].
- Published:
- Providence, R.I., USA : American Mathematical Society, [1985]
- Copyright Date:
- ©1985
- Physical Description:
- 1 online resource (iv, 111 pages)
- Additional Creators:
- Bourgain, Jean, 1954- and American Mathematical Society
- Access Online:
- ezaccess.libraries.psu.edu
ezaccess.libraries.psu.edu
- Series:
- Memoirs of the American Mathematical Society, 0065-9266 (print), 1947-6221 (online); v. 322
- Restrictions on Access:
- Access is restricted to licensed institutions
- 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
- Subject(s):
- ISBN:
- 9781470407353 (online)
- Note:
- "March 1985, volume 54, number 322 (fourth of 6 numbers).", Table of contents inserted., and AVAILABLE ONLINE TO AUTHORIZED PSU USERS.
- Bibliography Note:
- Bibliography: pages 109-111.
- Reproduction Note:
- Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
- Technical Details:
- Mode of access : World Wide Web
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