Some convergence theorems for multipliers on commutative Banach algebras


Mustafayev H.

ACTA SCIENTIARUM MATHEMATICARUM, cilt.84, ss.673-685, 2018 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 84
  • Basım Tarihi: 2018
  • Doi Numarası: 10.14232/actasm-017-291-5
  • Dergi Adı: ACTA SCIENTIARUM MATHEMATICARUM
  • Sayfa Sayıları: ss.673-685

Özet

Let A be a complex commutative semisimple Banach algebra and let T be a power bounded multiplier of A. This paper is concerned with finding necessary and sufficient conditions for the convergence of the sequence {T-n a} (a is an element of A) in A. Some related problems are also discussed.