Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Eduard Emelyanov
E-mail
eduard@metu.edu.tr
Department
Department of Mathematics
ORCID
0000-0002-8828-0398
Scopus Author ID
57222238113
Web of Science Researcher ID
AAQ-2470-2020
Publications
Theses Advised
Open Courses
Projects
o tau-Continuous, Lebesgue, KB, and Levi Operators Between Vector Lattices and Topological Vector Spaces
Alpay, Safak; Emelyanov, Eduard; Gorokhova, Svetlana (2022-06-01)
We investigate o tau-continuous/bounded/compact and Lebesgue operators from vector lattices to topological vector spaces; the Kantorovich-Banach operators between locally solid lattices and topological vector spaces; and t...
Full lattice convergence on Riesz spaces
Aydın, Abdullah; Emelyanov, Eduard; Gorokhova, Svetlana (2021-05-01)
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 full convergence c on a Riesz space. The ...
Bibounded uo-convergence and b-property in vector lattices
Alpay, Safak; Emelyanov, Eduard; Gorokhova, Svetlana (2021-01-01)
We define bidual bounded uo-convergence in vector lattices and investigate relations between this convergence and b-property. We prove that for a regular Riesz dual system ⟨ X, X∼⟩ , X has b-property if and only if the ord...
Unbounded p-Convergence in Lattice-Normed Vector Lattices
Aydın, A.; Emelyanov, Eduard; Erkurşun-Özcan, N.; Marabeh, M. (2019-07-01)
A net xα in a lattice-normed vector lattice (X, p, E) is unbounded p-convergent to x ∈ X if p(| xα− x| ∧ u) → o 0 for every u ∈ X+. This convergence has been investigated recently for (X, p, E) = (X, |·|, X) under the name...
u tau-convergence in locally solid vector lattices
Dabboorasad, Y. A.; Emelyanov, Eduard; Marabeh, M. A. A. (Springer Science and Business Media LLC, 2018-09-01)
Let be a net in a locally solid vector lattice ; we say that is unbounded -convergent to a vector if for all . In this paper, we study general properties of unbounded -convergence (shortly -convergence). -convergence gener...
Komls properties in Banach lattices
Emelyanov, Eduard; Gorokhova, S. G. (2018-08-01)
Several Komls like properties in Banach lattices are investigated. We prove that C(K) fails the -pre-Komls property, assuming that the compact Hausdorff space K has a nonempty separable open subset U without isolated point...
um-Topology in multi-normed vector lattices
Dabboorasad, Y. A.; Emelyanov, Eduard; Marabeh, M. A. A. (2018-04-01)
Let be a separating family of lattice seminorms on a vector lattice X, then is called a multi-normed vector lattice (or MNVL). We write if for all . A net in an MNVL is said to be unbounded m-convergent (or um-convergent) ...
Archimedean Cones in Vector Spaces
Emelyanov, Eduard (2017-01-01)
In the case of an ordered vector space (briefly, OVS) with an order unit, the Archimedeanization method was recently developed by Paulsen and Tomforde [4]. We present a general version of the Archimedeanization which cover...
Nonstandard hulls of ordered vector spaces
Emelyanov, Eduard (2016-06-01)
This paper undertakes the investigation of ordered vector spaces by applying nonstandard analysis. We introduce and study two types of nonstandard hulls of ordered vector spaces. Norm-nonstandard hulls of ordered Banach sp...
Asymptotically absorbing nets of positive operators
Emelyanov, Eduard (2012-10-01)
This paper is devoted to asymptotically absorbing operator nets. The study of such nets has attracted an attention in [19, 20] in connection with the notion of the Lotz - Räbiger nets on a Banach space which had been studi...
F
P
1
2
3
N
E
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX