On Basisity Problem in the Spaces l(A)(p) (D), 1 <= P < infinity


Gurdal M.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.32, ss.59-64, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 32 Konu: 1
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1080/01630563.2010.528569
  • Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Sayfa Sayıları: ss.59-64

Özet

Let V denote a Volterra integration operator, acting in the space [image omitted] of analytic functions [image omitted] for which [image omitted] by [image omitted] Using the Duhamel product method, it is shown that for any positive integer k the sequence {(kn)!Vknf}n epsilon 0 is a basic sequence in [image omitted] equivalent to the basis [image omitted] if and only if f(0)0.