Asymptotically absorbing nets of positive operators

EMELYANOV E., Erkurşun N.

Siberian Advances in Mathematics, cilt.22, sa.4, ss.243-260, 2012 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.3103/s1055134412040025
  • Dergi Adı: Siberian Advances in Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.243-260
  • Anahtar Kelimeler: asymptotically absorbing net, constrictor, continuous mapping, martingale net, operator net
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

This paper is devoted to asymptotically absorbing operator nets. The study of such nets has attracted an attention in [19, 20] in connection with the notion of the Lotz - Räbiger nets on a Banach space which had been studied recently in [4, 8, 9, 18-20]. In the present paper, we focus mainly on the case of nets of positive linear operators. © 2012 Allerton Press, Inc.