Tauberian Conditions for Almost Convergence in a Geodesic Metric Space
Functional Analysis
2020-05-20 v1
Abstract
In the present paper, after recalling the Karcher mean in Hadamard spaces, we study the relation between convergence, almost convergence and mean convergence (respect to the defined mean) of a sequence in Hadamard spaces. These results extend Tauberian conditions from Banach spaces to Hadamard spaces. Also, we show that every almost periodic sequence in Hadamard spaces is almost convergent.
Keywords
Cite
@article{arxiv.1906.06988,
title = {Tauberian Conditions for Almost Convergence in a Geodesic Metric Space},
author = {Hadi Khatibzadeh and Hadi Pouladi},
journal= {arXiv preprint arXiv:1906.06988},
year = {2020}
}
Comments
24 pages, 1 figure