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Banach Spaces with a Unique Unconditional Basis, up to Permutation
 
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
Banach Spaces with a Unique Unconditional Basis, up to Permutation
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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
  • 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 publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
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 publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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