10 citations · 13 across the 7 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.…
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…
Bibounded uo-convergence and b-property in vector lattices
Safak Alpay, Eduard Emelyanov, Svetlana Gorokhova
We define bidual bounded -convergence in vector lattices and investigate relations between this convergence and -property. We prove that for a regular Riesz dual system $\la…
Full Lattice Convergence on Riesz Spaces
Abdullah Aydın, Eduard Emelyanov, Svetlana Gorokhova
The full lattice convergence on a locally solid Riesz space is an abstraction of the topological, order, and relatively uniform convergences. We investigate four modifications of a…
Unbounded Order Convergence and Universal Completions
E. Y. Emelyanov, S. G. Gorokhova
We characterize vector lattices in which unbounded order convergence is eventually order bounded. Among other things, the characterization provides a solution to \cite[Probl.23]{Az…
Internal characterization of Brezis -- Lieb spaces
Eduard Emelyanov, Mohammad Marabeh
In order to find an extension of Brezis -- Lieb's lemma to the case of nets, we replace the almost everywhere convergence by the unbounded order convergence and introduce the Brezi…