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The Classes [M], A, P and Pε

  • Vladimir I. Gurariy
  • Wolfgang Lusky
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1870)

Abstract

In this chapter we study more general classes of subspaces of C[0, 1] which contain the class of Müntz spaces and we discuss theorems on compactness (11.1.2 and 11.2.6) as well as on interpolation (11.3.1). Moreover, we investigate which of these spaces can be embedded into c0. Finally we deal with notions of universality for Müntz sequences and spaces.

Keywords

Banach Space Closed Subspace Compactness Theorem Rational Sequence Isomorphic Copy 
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 Berlin/Heidelberg 2005

Authors and Affiliations

  • Vladimir I. Gurariy
    • 1
  • Wolfgang Lusky
    • 2
  1. 1.Department of MathematicsKent State UniversityKentU.S.A.
  2. 2.Institute of MathematicsUniversity of PaderbornPaderbornGermany

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