10 citations · 18 across the 18 of their papers we have counts for
5 papers · 1 filter
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…
Algebras of Lebesgue and KB regular operators in Banach lattices
Eduard Emelyanov
It is shown that the regularly Lebesgue and regularly (quasi) KB operators in a Banach lattice E form operator algebras and, for Dedekind complete E, even Banach lattice algebras.…
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…