A Characterization of Hilbert Spaces Using Sublinear Operators

  • KHALIL SAADI
  • Published 2014

Abstract

The concept of absolutely 1-summing linear operators was mainly introduced by Grothendieck in the 1950’s and was generalized for all p by Pietsch in the 1967’s. Cohen in [7] has used the 2-summing linear operators and their conjugates to give a characterization of inner product spaces. This result has been generalized by Kwapień [9] to normed spaces… (More)

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