1 citations · 2 across the 10 of their papers we have counts for
12 papers
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 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.…
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…
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…
Characterization of Riesz spaces with topologically full center
Şafak Alpay, Mehmet Orhon
Let be a Riesz space and let denote its order dual. The orthomorphisms on and the ideal center of are naturally embedded in $Orth(E^{\sim}…