A. Aydin

activity

20162025

most citedCompact-Like Operators in Lattice-Normed Spaces

2 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.FA2025

Statistical order convergence of operators on Riesz Spaces

Abdullah Aydın, Erdal Bayram, İshak Aydın

This paper introduces statistical order convergence and its pointwise variant for sequences of order bounded operators between Riesz spaces. We establish fundamental properties: un…

math.FA2024

Introducing Statistical Operators: Boundedness, Continuity, and Compactness

Erdal Bayram, Mehmet Küçükaslan, Mikail Et +1

Many studies have been conducted on statistical convergence, and it remains an area of active research. Since its introduction, statistical convergence has found applications many…

math.FA2017★ 2 cited

Compact-Like Operators in Lattice-Normed Spaces

A. Aydın, E. Yu. Emelyanov, N. Erkurşun Özcan +1

A linear operator $T$ between two lattice-normed spaces is said to be $p$ -compact if, for any $p$ -bounded net $x_{α}$ , the net $T x_{α}$ has a $p$ -convergent subnet. $p$ -Compact operato…

math.FA2016★ 1 cited

Unbounded $p$ -convergence in Lattice-Normed Vector Lattices

A. Aydın, E. Yu. Emelyanov, N. Erkurşun Özcan +1

A net $x_{α}$ in a lattice-normed vector lattice $(X, p, E)$ is unbounded $p$ -convergent to $x \in X$ if $p (∣ x_{α} - x ∣ \land u) o 0$ for every $u \in X_{+}$ . This convergence has…

Statistical order convergence of operators on Riesz Spaces

Introducing Statistical Operators: Boundedness, Continuity, and Compactness

Compact-Like Operators in Lattice-Normed Spaces

Unbounded p-convergence in Lattice-Normed Vector Lattices

Unbounded $p$ -convergence in Lattice-Normed Vector Lattices