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Chapter 2

  • Asuman Güven Aksoy
  • Mohamed A. Khamsi
Part of the Universitext book series (UTX)

Abstract

Let (A i ) i єI be a family of sets and let U be an ultrafilter on I. By \(\mathop \prod \limits_{i \in I}\) A i we mean the cartesian product of the sets (A i ) i єI; consider the relation ~ u on \(\mathop \prod \limits_{i \in I}\) A i defined by:
$$\left( {{a_i}} \right){ \sim _u}\left( {{b_i}} \right){\text{ if and only if }}\left\{ {i:{a_i} = {b_i}} \right\} \in u$$
(1.1)

Keywords

Banach Space Canonical Basis Convergent Subsequence Separable Banach Space Spreading Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1990

Authors and Affiliations

  • Asuman Güven Aksoy
    • 1
  • Mohamed A. Khamsi
    • 2
  1. 1.Department of MathematicsClaremont McKenna CollegeClaremontUSA
  2. 2.Department of Mathematical SciencesUniversity of Texas at El PasoEl PasoUSA

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