Tauberian Conditions for Almost Convergence in a Geodesic Metric Space
| Autor: | Khatibzadeh, Hadi, Pouladi, Hadi |
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| 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 |
| Externí odkaz: |
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