Summary
One of the purposes of the paper is to examine whether the convolutionA*B is in (X, Y) wheneverA andB are in (X, Y) denoting by (X, Y) the set of all infinite matrices operating on a sequence spaceX into another sequence spaceY. There are results relating to conullity, multiplicative property and characteristic numbers of the convolution of conservative matrices. The paper also contains results on convolution of sequences.
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References
Chandrasekhara Rao K.,Matrix transformations of some sequence spaces, Pacific J. Math.,31 (1969), 171–174.
Chandrasekhara Rao K.,Matrix transformations of some sequence spaces II, Glasgow Math. J.,11 (1970), 162–166.
Knopp K. and Lorentz G. G.,Beiträge zur absoluten Limitierung, Arch. Math.,2 (1949), 10–16.
Vermes P.,Convolution of summability methods, J. d'Analyse Math.,2 (1952), 160–177.
Wilansky A.,Functional Analysis, Blaisdell, New York, 1964.
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An erratum to this article is available at http://dx.doi.org/10.1007/BF02844456.
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Chandrasekhara Rao, K. Convolution of summability methods. Rend. Circ. Mat. Palermo 27, 410–416 (1978). https://doi.org/10.1007/BF02843897
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DOI: https://doi.org/10.1007/BF02843897