Some characterizations of KB-operators on Banach lattices and ordered Banach spaces | Zendy

Birol Altın | Zendy; Nabil Machrafi | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Some characterizations of KB-operators on Banach lattices and ordered Banach spaces

Author(s) -

Birol Altın,

Nabil Machrafi

Publication year - 2020

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-2004-106

Subject(s) - mathematics , finite rank operator , approximation property , banach space , compact operator , c0 semigroup , banach manifold , pure mathematics , strictly singular operator , spectrum (functional analysis) , pseudo monotone operator , discrete mathematics , lp space , operator space , computer science , physics , quantum mechanics , extension (predicate logic) , programming language

We determine that two recent classes of KB-operators and weak KB-operators and the well-known class of b -weakly compact operators, from a Banach lattice into a Banach space, are the same. We extend our study to the ordered Banach space setting by showing that a weak chain-preserving operator between two ordered Banach spaces is a KB-operator if and only if it is a weak KB-operator.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research