Some convergence theorems for multipliers on commutative Banach algebras

Mustafayev H.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 84
  • Basım Tarihi: 2018
  • Doi Numarası: 10.14232/actasm-017-291-5
  • Dergi Adı: ACTA SCIENTIARUM MATHEMATICARUM
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.673-685
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

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.