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Statistical convergence of double sequences in locally solid Riesz spaces. (English) Zbl 1262.40005
Summary: Recently, the notion of statistical convergence was studied in a locally solid Riesz space by Albayrak and Pehlivan. In this paper, we define and study statistical $$\tau$$-convergence, statistical $$\tau$$-Cauchy and $$S^\ast(\tau)$$-convergence of double sequences in a locally solid Riesz space.

##### MSC:
 40J05 Summability in abstract structures 40B05 Multiple sequences and series 40A35 Ideal and statistical convergence
##### Keywords:
statistical convergence; locally solid Riesz space
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##### References:
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