Banach spaces with a unique unconditional basis, up to permutation / [electronic resource]
J. Bourgain ... [et al.].
- Providence, R.I., USA : American Mathematical Society, c1985.
- 1 online resource (iv, 111 p.)
- Memoirs of the American Mathematical Society, v. 322 0065-9266 (print); 1947-6221 (online); .
"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 $(\sum ^\infty _ \oplus \ell ^n_2)_1$ and $(\sum ^\infty _ \oplus \ell ^n_\infty )_1$ 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
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9781470407353 (online)
Banach spaces.
Bases (Linear topological spaces)
QA3 QA322.2 / .A57 no. 322
510 s 515.7/32
"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 $(\sum ^\infty _ \oplus \ell ^n_2)_1$ and $(\sum ^\infty _ \oplus \ell ^n_\infty )_1$ 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
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9781470407353 (online)
Banach spaces.
Bases (Linear topological spaces)
QA3 QA322.2 / .A57 no. 322
510 s 515.7/32