Belmesnaoui Aqzzouz, Jawad H’michane, Othman Aboutafail
Abstract
We characterize Banach lattices under which each AM-compact operator (resp. the second power of a positive AM-compact operator) is weakly compact. Also, we give some interesting results about b-weakly compact operators and operators of strong type B.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
We characterize Banach lattices under which each AM-compact operator (resp. the second power of a positive AM-compact operator) is weakly compact. Also, we give some interesting results about b-weakly compact operators and operators of strong type B.
Key concepts: Compact space, Compact operator, Compact operator on Hilbert space, Mathematics, Finite-rank operator, Nuclear operator, Pure mathematics, Approximation property