Sequences in Normed Spaces

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


Here we study, among other things, completeness and minimality of sequences in Banach spaces. This includes a discussion of bases and finite dimensional Schauder decompositions. Moreover this gives rise to the introduction of uniformly convex and uniformly smooth Banach spaces.


Banach Space Normed Space Basic Sequence Convex Space Separable Banach Space 
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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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