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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
Full Lattice Convergence on Riesz Spaces
Abdullah Aydın, Eduard Emelyanov, Svetlana Gorokhova
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…
math.FA2020
Hahn-Banach theorem for operators on the lattice normed -algebras
Abdullah Aydın
Let and be -algebras and be a monotone vector norm. Then the triple is called a lattice-normed -algebraic space. In this paper, we show a gene…