9 citations · 14 across the 18 of their papers we have counts for
5 papers · 1 filter
Deferred statistical order convergence in Riesz spaces
Mehmet Küçükaslan, Abdullah Aydın
Some types of statistical convergence such as statistical order and deferred statistical convergences have been studied and investigated in Riesz spaces, recently. In this paper, w…
Statistically unbounded p-convergence in lattice-normed Riesz spaces
Abdullah Aydın
The statistically unbounded -convergence is an abstraction of the statistical order, unbounded order, and -convergences. We investigate the concept of the statistically unbou…
Statistical -convergence in lattice-normed Riesz spaces
Abdullah Aydın, Reha Yapalı, Erdal Korkmaz
A sequence in a lattice-normed space is statistical -convergent to if there exists a statistical -decreasing sequence $q\stpd 0$ with an index set…
Multiplicative order compact operators between vector lattices and -algebras
Abdullah Aydın, Svetlana Gorokhova
In the present paper, we introduce and investigate the multiplicative order compact operators from vector lattices to -algebras. A linear operator from a vector lattice …
Multiplicative order continuous operators on Riesz algebras
Abdullah Aydın, Eduard Emelyanov, Svetlana Gorokhova
In this paper, we investigate operators on Riesz algebras, which are continuous with respect to multiplicative modifications of order convergence and relatively uniform convergence…