S. Nanda’s scientific contributions

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Publications (1)

On certain sequence spaces and their Köthe-Toeplitz duals
  • Article

January 1993

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15 Reads

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6 Citations

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S. Nanda

We introduce a general sequence space X v , where X is any sequence space and establish some inclusion relations, topological results. Furthermore we give α- and β-duals of sequence spaces [ℓ(p)] v , [c 0 (p)] v , [ℓ ∞ (p)] v and [c(p)] v together with α-duals of sequence spaces ℓ(p), c 0 (p), ℓ ∞ (p) and c(p). The perfectness of sequence spaces [ℓ(p)] v , [ℓ ∞ (p)] v and [c 0 (p)] v is also examined in this paper. Our results include the corresponding results of Dutta, Srivastava, Gurusingh and others.

Citations (1)

... Kamthan used the multiplier sequence (k!) see [11]. The study on multiplier sequence spaces were carried out by Colak [2], Colak et al. [3], Srivastava and Srivastava [25], Tripathy and Mahanta [28] and many others. Let w be the set of all sequences of real or complex numbers and let l ∞ , c and c 0 be the Banach spaces of bounded, convergent and null sequences x = (x k ) respectively with the usual norm ||x|| = sup |x k |, where k ∈ N, is the set of positive integers. ...

Reference:

Some vector-valued statistical convergent sequence spaces
On certain sequence spaces and their Köthe-Toeplitz duals
  • Citing Article

  • January 1993

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S. Nanda