Abdullah Aydın

activity

20162020

most citedMultiplicative norm convergence in Banach lattice

f

-algebras

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

collaborators

3 papers

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★ 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.FA2016

Nonstandard Hulls of Lattice-Normed Ordered Vector Spaces

A. Aydın, S. G. Gorokhova, H. Gül

Nonstandard hulls of a vector lattice were introduced and studied in \cite{E10,E9,E7,E5,E3}. In recent paper \cite{EG}, these notions were extended to ordered vector spaces. In the…

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

Multiplicative norm convergence in Banach lattice f-algebras

Nonstandard Hulls of Lattice-Normed Ordered Vector Spaces

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

Multiplicative norm convergence in Banach lattice $f$ -algebras