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Enveloping norms on the spaces of regularly P-operators in Banach lattices
Safak Alpay, Eduard Emelyanov, Svetlana Gorokhova
We introduce and study the enveloping norms of regularly P-operators between Banach lattices E and F, where P is a subspace of the space L(E,F) of continuous operators from E to F.…
Regularly limited, Grothendieck, and Dunford--Pettis operators
Safak Alpay, Eduard Emelyanov, Svetlana Gorokhova
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.…
Generalizations of L- and M-weakly compact operators
Safak Alpay, Eduard Emelyanov, Svetlana Gorokhova
L- and M-weakly compact operators were introduced by Meyer-Nieberg in the beginning of seventies in attempts of a diversification of the concept of weakly compact operators via imp…