Regularly limited, Grothendieck, and Dunford--Pettis operators
Safak Alpay, Eduard Emelyanov, Svetlana Gorokhova
TL;DR
This paper introduces and investigates the enveloping norms of regularly P-operators, where P represents variants of limited, Grothendieck, and Dunford--Pettis operators in Banach lattices, expanding understanding of these operator classes.
Contribution
It defines and studies the enveloping norms of regularly P-operators, providing new insights into their structure and properties in Banach lattices.
Findings
Characterization of enveloping norms for regularly P-operators
Relations between different classes of these operators
Extensions to related topics in Banach lattice theory
Abstract
We introduce and study the enveloping norms of regularly P-operators, where P is an "almost" version of limited, Grothendieck, and of Dunford--Pettis operators in Banach lattices. Several further topics related to these operators are also discussed.
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Taxonomy
TopicsAdvanced Banach Space Theory · Approximation Theory and Sequence Spaces · Holomorphic and Operator Theory