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arXiv · 1906.06988

Tauberian Conditions for Almost Convergence in a Geodesic Metric Space

Hadi Khatibzadeh·Hadi Pouladi
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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.

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Hadi Khatibzadeh, Hadi Pouladi. 2019-06-17. Tauberian Conditions for Almost Convergence in a Geodesic Metric Space. https://doi.org/10.1007/s00025-020-1169-6

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