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

Bahri Turan | Zendy; Birol Altın | Zendy

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

Author(s) -

Bahri Turan,

Birol Altın

Publication year - 2019

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1908-11

Subject(s) - mathematics , compact operator , finite rank operator , strictly singular operator , approximation property , operator (biology) , pseudo monotone operator , pure mathematics , banach space , quasinormal operator , compact operator on hilbert space , discrete mathematics , operator space , extension (predicate logic) , computer science , biochemistry , chemistry , repressor , transcription factor , gene , programming language

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 operators 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.

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