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Banach Spaces with a Unique Unconditional Basis, up to Permutation
eBook 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 |
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Banach Spaces with a Unique Unconditional Basis, up to Permutation
eBook 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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 54; 1985; 111 ppMSC: Primary 46
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Table of Contents
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Chapters
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0. Introduction
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1. Unconditional bases of finite direct sums of Banach spaces
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2. Infinite direct sums of Hilbert spaces
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3. Infinite direct sums of $\ell _1$-spaces in the sense of $c_0$, Part I
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4. Infinite direct sums of $\ell _1$-spaces in the sense of $c_0$, Part II
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5. Infinite direct sums in the sense of $\ell _2$
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6. Prime spaces
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7. Tsirelson’s space
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8. Complemented subspaces of $(\sum ^\infty _{n=1} \oplus \ell ^n_2)_1$ and $(\sum ^\infty _{n=1} \oplus \ell ^n_\infty )_1$
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9. “Large” subspaces of $(\ell _q \oplus \ell _q \oplus \cdots \oplus \ell _q \oplus \cdots )_p$
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10. Complemented subspaces of $(\ell _2 \oplus \ell _2 \oplus \cdots \oplus \ell _2 \oplus \cdots )_1$ and $(c_0 \oplus c_0 \oplus \cdots \oplus c_0 \oplus \cdots )_1$
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11. Open problems
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12. References
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
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 $\ell _2$
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6. Prime spaces
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7. Tsirelson’s space
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8. Complemented subspaces of $(\sum ^\infty _{n=1} \oplus \ell ^n_2)_1$ and $(\sum ^\infty _{n=1} \oplus \ell ^n_\infty )_1$
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9. “Large” subspaces of $(\ell _q \oplus \ell _q \oplus \cdots \oplus \ell _q \oplus \cdots )_p$
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10. Complemented subspaces of $(\ell _2 \oplus \ell _2 \oplus \cdots \oplus \ell _2 \oplus \cdots )_1$ and $(c_0 \oplus c_0 \oplus \cdots \oplus c_0 \oplus \cdots )_1$
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11. Open problems
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12. References
Review Copy – for publishers of book reviews
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