A. Aydın

most citedMultiplicative norm convergence in Banach lattice

f

-algebras

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

collaborators

6 papers

math.FA2020

Statistically multiplicative convergence on locally solid Riesz algebras

Abdullah Aydın, Mikail Et

In this paper, we introduce the statistically multiplicative convergent sequences in locally solid Riesz algebras with respect to the algebra multiplication and the solid topology.…

math.FA2020

Hahn-Banach theorem for operators on the lattice normed $f$ -algebras

Abdullah Aydın

Let $X$ and $E$ be $f$ -algebras and $p : X \to E_{+}$ be a monotone vector norm. Then the triple $(X, p, E)$ is called a lattice-normed $f$ -algebraic space. In this paper, we show a gene…

math.FA2019

Topological algebras of statistical $τ$ -bounded operators on ordered topological vector spaces

Abdullah Aydın, Muhammed Çınar

In this paper, we introduce statistical bounded set on topological vector space. Also, we consider three classes of bounded operators from topological vector spaces to ordered topo…

math.FA2019

The statistically unbounded $τ$ -convergence on locally solid Riesz spaces

Abdullah Aydın

A sequence $(x_{n})$ in a locally solid Riesz space $(E, τ)$ is said to be statistically unbounded $τ$ -convergent to $x \in E$ if, for every zero neighborhood $U$ , $\frac{1}{n}\big\lve…

math.FA2019★ 2 cited

Multiplicative norm convergence in Banach lattice $f$ -algebras

Abdullah Aydin

A net $(x_{α})$ in an $f$ -algebra $E$ is called multiplicative order convergent to $x \in E$ if $\lvert x_α-x\rvert u\oc 0$ for all $u \in E_{+}$ . This convergence has been investigated…

math.FA2019

Multiplicative order convergence in $f$ -algebras

Abdullah Aydın

A net $(x_{α})$ in an $f$ -algebra $E$ is said to be multiplicative order convergent to $x \in E$ if $\x_α-x\u\oc 0$ for all $u \in E_{+}$ . In this paper, we introduce the notions $m o$ -co…

Statistically multiplicative convergence on locally solid Riesz algebras

Hahn-Banach theorem for operators on the lattice normed f-algebras

Topological algebras of statistical τ-bounded operators on ordered topological vector spaces

The statistically unbounded τ-convergence on locally solid Riesz spaces

Multiplicative norm convergence in Banach lattice f-algebras

Multiplicative order convergence in f-algebras

Hahn-Banach theorem for operators on the lattice normed $f$ -algebras

Topological algebras of statistical $τ$ -bounded operators on ordered topological vector spaces

The statistically unbounded $τ$ -convergence on locally solid Riesz spaces

Multiplicative norm convergence in Banach lattice $f$ -algebras

Multiplicative order convergence in $f$ -algebras