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Tensor Products and Independent Sums of $\mathcal L_p$-Spaces, $1 < p < \infty$
 
Dale E. Alspach :  Oklahoma State University, Stillwater, OK
Tensor Products and Independent Sums of L_p-Spaces, 1 < p < inf
eBook ISBN:  978-1-4704-0249-5
Product Code:  MEMO/138/660.E
List Price: $48.00
MAA Member Price: $43.20
AMS Member Price: $28.80
Add to cart
Tensor Products and Independent Sums of L_p-Spaces, 1 < p < inf
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Tensor Products and Independent Sums of $\mathcal L_p$-Spaces, $1 < p < \infty$
Dale E. Alspach :  Oklahoma State University, Stillwater, OK
eBook ISBN:  978-1-4704-0249-5
Product Code:  MEMO/138/660.E
List Price: $48.00
MAA Member Price: $43.20
AMS Member Price: $28.80
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 138; 1999; 77 pp
    MSC: Primary 46

    Two methods of constructing infinitely many isomorphically distinct \(\mathcal L_p\)-spaces have been published. In this volume, the author shows that these constructions yield very different spaces and in the process develop methods for dealing with these spaces from the isomorphic viewpoint.
    Readership

    Graduate students and research mathematicians working in functional analysis.
  • Table of Contents
     
     
    • Chapters
    • 0. Introduction
    • 1. The constructions of $\mathcal {L}_p$-spaces
    • 2. Isomorphic properties of $(p, 2)$-sums and the spaces $R^\alpha _p$
    • 3. Isomorphic classification of $R^\alpha _p$, $\alpha < \omega _1$
    • 4. Isomorphism from $X_p \otimes X_p$ into $(p, 2)$-sums
    • 5. Selection of bases in $X_p \otimes X_p$
    • 6. $X_p \otimes X_p$-preserving operators on $X_p \otimes X_p$
    • 7. Isomorphisms of $X_p \otimes X_p$ onto complemented subspaces of $(p, 2)$-sums
    • 8. $X_p \otimes X_p$ is not in the scale $R^\alpha _p$, $\alpha < \omega _1$
    • 9. Final remarks and open problems
  • 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
Memoirs of the American Mathematical Society
Volume: 138; 1999; 77 pp
MSC: Primary 46

Two methods of constructing infinitely many isomorphically distinct \(\mathcal L_p\)-spaces have been published. In this volume, the author shows that these constructions yield very different spaces and in the process develop methods for dealing with these spaces from the isomorphic viewpoint.
Readership

Graduate students and research mathematicians working in functional analysis.
  • Chapters
  • 0. Introduction
  • 1. The constructions of $\mathcal {L}_p$-spaces
  • 2. Isomorphic properties of $(p, 2)$-sums and the spaces $R^\alpha _p$
  • 3. Isomorphic classification of $R^\alpha _p$, $\alpha < \omega _1$
  • 4. Isomorphism from $X_p \otimes X_p$ into $(p, 2)$-sums
  • 5. Selection of bases in $X_p \otimes X_p$
  • 6. $X_p \otimes X_p$-preserving operators on $X_p \otimes X_p$
  • 7. Isomorphisms of $X_p \otimes X_p$ onto complemented subspaces of $(p, 2)$-sums
  • 8. $X_p \otimes X_p$ is not in the scale $R^\alpha _p$, $\alpha < \omega _1$
  • 9. Final remarks and open problems
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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