Some applications of Banach algebra techniques


KARAEV M., GÜRDAL M. , SALTAN S.

MATHEMATISCHE NACHRICHTEN, cilt.284, ss.1678-1689, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 284 Konu: 13
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1002/mana.200910129
  • Dergi Adı: MATHEMATISCHE NACHRICHTEN
  • Sayfa Sayıları: ss.1678-1689

Özet

We consider some functional Banach algebras with multiplications as the usual convolution product * and the so-called Duhamel product circle star. We study the structure of generators of the Banach algebras (C-(n) [0, 1], *) and (C-(n) [0, 1], circle star). We also use the Banach algebra techniques in the calculation of spectral multiplicities and extended eigenvectors of some operators. Moreover, we give in terms of extended eigenvectors a new characterization of a special class of composition operators acting in the Lebesgue space L-p [0, 1] by the formula (C-phi f) (x) = f (phi (x)). (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim