Tensor Products and Independent Sums of L_p-Spaces (Memoirs of the American Mathematical Society)

Tensor Products and Independent Sums of L_p-Spaces (Memoirs of the American Mathematical Society)

By: Dale E. Alspach (author)Paperback

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Description

Two methods of constructing infinitely many isomorphically distinct $\Cal L p$-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.

Contents

Introduction The constructions of $\mathcal L p$-spaces Isomorphic properties of $(p,2)$--sums and the spaces $R^\alpha p$ The isomorphic classification of $R^\alpha p$, $\alpha <\omega 1$ Isomorphisms from $X p\otimes X p$ into $(p,2)$--sums Selection of bases in $X p\otimes X p$ $X p\otimes X p$-preserving operators on $X p\otimes X p$ Isomorphisms of $X p\otimes X p$ onto complemented subspaces of $(p,2)$--sums $X p\otimes X p$ is not in the scale $R^\alpha p$, $\alpha < \omega 1$ Final remarks and open problems Bibliography.

Product Details

  • ISBN13: 9780821809617
  • Format: Paperback
  • Number Of Pages: 77
  • ID: 9780821809617
  • ISBN10: 082180961X

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