2 citations · 4 across the 19 of their papers we have counts for
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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.…
Operators Affiliated to Banach Lattice Properties and the Enveloping Norms
Eduard Emelyanov, Svetlana Gorokhova
Several recent papers were devoted to various modifications of limited, Grothendieck, and Dunford--Pettis operators, etc., through involving the Banach lattice structure. In the pr…
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…
Multiplicative order compact operators between vector lattices and -algebras
Abdullah Aydın, Svetlana Gorokhova
In the present paper, we introduce and investigate the multiplicative order compact operators from vector lattices to -algebras. A linear operator from a vector lattice …
Multiplicative order continuous operators on Riesz algebras
Abdullah Aydın, Eduard Emelyanov, Svetlana Gorokhova
In this paper, we investigate operators on Riesz algebras, which are continuous with respect to multiplicative modifications of order convergence and relatively uniform convergence…