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Banach Spaces with a Unique Unconditional Basis, up to Permutation

Available Formats:
Electronic ISBN: 978-1-4704-0735-3
Product Code: MEMO/54/322.E
List Price: $23.00 MAA Member Price:$20.70
AMS Member Price: $18.40 Click above image for expanded view Banach Spaces with a Unique Unconditional Basis, up to Permutation Available Formats:  Electronic ISBN: 978-1-4704-0735-3 Product Code: MEMO/54/322.E  List Price:$23.00 MAA Member Price: $20.70 AMS Member Price:$18.40
• Book Details

Memoirs of the American Mathematical Society
Volume: 541985; 111 pp
MSC: Primary 46;
• Table of Contents

• Chapters
• 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
• Requests

Review Copy – for reviewers who would like to review an AMS book
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Volume: 541985; 111 pp
MSC: Primary 46;
• Chapters
• 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
Review Copy – for reviewers who would like to review an AMS book
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