activity
20162026
most citedFree uniformly complete vector lattices

2 citations · 4 across the 19 of their papers we have counts for

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6 papers · 1 filter

math.FA2024

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…

math.FA2024

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…

math.FA2024

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.

math.FA2024

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.

math.FA2024

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.

math.FA2024

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…