The Classes [M], A, P and Pε

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


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.


Banach Space Closed Subspace Compactness Theorem Rational Sequence Isomorphic Copy 
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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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