Statistically unbounded p-convergence in lattice-normed Riesz spaces

2022/04/26 by Abdullah Aydın, Aydın, Abdullah · 1 citation
Mathematics · #Approximation Theory and Sequence Spaces #Advanced Banach Space Theory

paper · pdf · doi:10.48550/arxiv.2204.12321

Abstract

The statistically unbounded p-convergence is an abstraction of the statistical order, unbounded order, and p-convergences. We investigate the concept of the statistically unbounded convergence on lattice-normed Riesz spaces with respect to statistical p-decreasing sequences. Also, we get some relations between this concept and the other kinds of statistical convergences on Riesz spaces.

Cited by

• Statistical order convergence of operators on Riesz Spaces

Related

• Statistical p-convergence in lattice-normed Riesz spaces
• Statistical unbounded convergence in Banach lattices
• Statistical order convergence of operators on Riesz Spaces
• The statistically unbounded τ-convergence on locally solid Riesz spaces
• Statistical convergence of nets in Riesz spaces