The relation between b-weakly compact operator and KB-operator

TURAN B., ALTIN B.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.6, ss.2818-2820, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 6
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1908-11
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2818-2820
  • Gazi Üniversitesi Adresli: Evet

Özet

Our aim is to solve the problem asked by Bahramnezhad and Azar in "KB-operators on Banach lattices and their relationships with Dunford-Pettis and order weakly compact operators". We show that a continuous operator R from a Banach lattice N into a Banach space M is a b-weakly compact operator if and only if R is a KB-operator.