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Zbl 1185.40001
Aydin, Bünyamin
Lacunary almost summability in certain linear topological spaces. (English)
[J] Bull. Malays. Math. Sci. Soc. (2) 27, No. 2, 217-223 (2004). ISSN 0126-6705

Summary: The concept of lacunary almost summability of sequences in locally convex spaces has been defined and investigated. It is also proved Kojima-Schur and Silverman-Toeplitz type theorems for lacunary almost conservatively and lacunary almost regularity of the which transform sequences in a Frechet space into a sequence in an other Frechet space. We also stated that the same results hold in locally bounded linear topological spaces.

MSC 2000:: *40A05 Convergence of series and sequences
40H05 Functional analytic methods in summability

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