Displaying similar documents to “Strongly Almost Convergent Sequences”

Some λ -sequence spaces defined by a modulus

Eberhard Malkowsky, Ekrem Savaş (2000)

Archivum Mathematicum

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The main object of this paper is to introduce and study some sequence spaces which arise from the notation of generalized de la Vallée–Poussin means and the concept of a modulus function.

An extension of Lorentz's almost convergence and applications in Banach spaces

Mercourakis, S., Vassiliadis, G. (2006)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: Primary 40C99, 46B99. We investigate an extension of the almost convergence of G. G. Lorentz requiring that the means of a bounded sequence converge uniformly on a subset M of N. We also present examples of sequences α∈ l∞(N) whose sequences of translates (Tn α)n≥ 0 (where T is the left-shift operator on l∞(N)) satisfy: (a) Tn α, n ≥ 0 generates a subspace E(α) of l∞(N) that is isomorphically embedded into c0 while α is not almost...