Tauberian Conditions for Almost Convergence in a Geodesic Metric Space

Autor: Khatibzadeh, Hadi, Pouladi, Hadi
Rok vydání: 2019
Předmět:
Zdroj: Results in Mathematics volume 75 (2020) 1-18
Druh dokumentu: Working Paper
DOI: 10.1007/s00025-020-1169-6
Popis: 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.
Comment: 24 pages, 1 figure
Databáze: arXiv
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