Lacunary Almost Summability in Certain Linear Topological Spaces
Bünyamin Aydin
Abstract.
In this paper, the concept of lacunary almost summability of sequences in locally convex spaces has been defined and investigated. It is also proved Kojima-Schur and Silvarman-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.
2000 Mathematics Subject Classification: 40A05, 40H05
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