Uniformly smooth renorming of Banach spaces with modulus of convexity of power type 2

نویسندگان

  • Milen Ivanov
  • Stanimir Troyanski
چکیده

An upper bound q(c) for the best, under equivalent renorming, possible power type of the modulus of smoothness of a Banach space with modulus of convexity satisfying δX(ε) cε2, is found. The estimate is asymptotically sharp and is expressed in terms of linear fractional function q(c). © 2006 Elsevier Inc. All rights reserved.

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تاریخ انتشار 2006