On compact KB operators in Banach lattices On compact KB operators in Banach lattices

We study norm completeness and the domination problem for KB operators, and show that compact KB operators are not necessarily stable under rank one perturbations. It is proved that an order continuous Banach lattice is a KB-space if and only if every positive compact operator on it is KB. Condition...

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Vydáno v:	Positivity : an international journal devoted to the theory and applications of positivity in analysis Ročník 29; číslo 1; s. 15
Hlavní autor:	Emelyanov, Eduard
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Cham Springer International Publishing 01.02.2025 Springer Nature B.V
Témata:	Calculus of Variations and Optimal Control; Optimization Econometrics Fourier Analysis Linear operators Mathematics Mathematics and Statistics Operator Theory Operators (mathematics) Potential Theory Compact operator 46B42 47L05 KB operator Banach lattice 46A40
ISSN:	1385-1292, 1572-9281
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