2 citations · 4 across the 19 of their papers we have counts for
23 papers
On automatic continuity of operators from ordered to topological vector spaces
Eduard Emelyanov, Svetlana Gorokhova
We study continuity and boundedness of order-to-topology bounded and order-to topology continuous operators from ordered to topological vector spaces. Several results on automatic…
On ortho and disjointly compact operators acting to Frechet spaces
Svetlana Gorokhova
We study compactness along orthonormal (disjoint bounded) sequences for operators from Hilbert spaces (Banach lattices) to Frechet spaces.
Relatively uniformly continuous semigroups on ordered vector spaces
Eduard Emelyanov, Nazife Erkursun-Ozcan, Svetlana Gorokhova
We study relatively uniformly continuous operator semigroups on ordered vector spaces and extend several recent results obtained by M. Kramar Fijavz, M. Kandic, M. Kaplin, and J. G…
Collective order boundedness of sets of operators between ordered vector spaces
Eduard Emelyanov, Nazife Erkursun-Ozcan, Svetlana Gorokhova
It is proved that: each collectively order continuous set of operators from an Archimedean OVS with a generating cone to an OVS is collectively order bounded; and each collectively…
On collectively almost (limitedly, order) L-weakly compact sets of operators
Safak Alpay, Eduard Emelyanov, Svetlana Gorokhova
We prove collective versions of semi-duality theorems for sets of almost (limitedly, order) L-weakly compact operators.
On aL(M)wc and oL(M)wc operators between Banach lattices
Safak Alpay, Svetlana Gorokhova
We study almost L(M) weakly compact and order L(M) weakly compact operators in Banach spaces. Several further topics related to these operators are investigated.
On compact (limited) operators between Hilbert and Banach spaces
Svetlana Gorokhova
We give orthonormal characterizations of collectively compact (limited) sets of linear operators from a Hilbert space to a Banach space.
On limited and almost limited operators between Banach lattices
Safak Alpay, Svetlana Gorokhova
We study (almost) limited operators in Banach lattices and their relations to L-weakly compact, semi-compact, and Dunford-Pettis operators. Several further related topics are inves…
Duality and Norm Completeness in the Classes of Limitedly--Lwc and Dunford--Pettis--Lwc Operators
Safak Alpay, Eduard Emelyanov, Svetlana Gorokhova
We investigate the duality and norm completeness in the classes of limitedly--L-weakly compact and Dunford--Pettis--L-weakly compact and operators from Banach spaces to Banach latt…
Limitedly L-weakly compact operators
Safak Alpay, Svetlana Gorokhova, Eduard Emelyanov
We introduce new class of limitedly L-weakly compact operators from a Banach space to a Banach lattice. This class is a proper subclass of the Bourgain-Diestel operators and it con…
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…
Free uniformly complete vector lattices
Eduard Emelyanov, Svetlana Gorokhova
We define a free uniformly complete vector lattice over a set of generators and give its concrete representation as a space of continuous positively homogeneous functions.
The -continuous, Lebesgue, KB, and Levi operators between vector lattices and topological vector spaces
Safak Alpay, Eduard Emelyanov, Svetlana Gorokhova
We investigate the -continuous/bounded/compact and Lebesgue operators from vector lattices to topological vector spaces; the KB operators between locally solid lattices and top…
b-Property of sublattices in vector lattices
Safak Alpay, Svetlana Gorokhova
We study -property of a sublattice (or an order ideal) of a vector lattice . In particular, -property of in , the Dedekind completion of , -property of…
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…
Nonstandard Hulls of Lattice-Normed Ordered Vector Spaces
A. Aydın, S. G. Gorokhova, H. Gül
Nonstandard hulls of a vector lattice were introduced and studied in \cite{E10,E9,E7,E5,E3}. In recent paper \cite{EG}, these notions were extended to ordered vector spaces. In the…