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Packing in Orlicz sequence spaces

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We show how one can, in a unified way, calculate the Kottman and the packing constants of the Orlicz sequence space defined by an N-function, equipped with either the gauge or Orlicz norms. The values of these constants for a class of reflexive Orlicz sequence spaces are found, using a quantitative index of N-functions and some interpolation theorems. The exposition is essentially selfcontained.
Słowa kluczowe
  • Department of Mathematics, University of California, Riverside, California 92521, U.S.A.,
  • Department of Mathematics, University of California, Riverside, California 92521, U.S.A.
  • Department of Mathematics, Suzhou University, 215006 Suzhou, P.R. China
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