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Matrix transformations of some sequence spaces—II

Published online by Cambridge University Press:  18 May 2009

K. Chandrasekhara Rao
K. Chandrasekhara Rao
Affiliation:
Loyola College, Madras, and Kerala University, Trivandrum
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This paper is a continuation of [1]. We begin with the notations for the sequence spaces considered in this paper. Let Γ be the space of sequences x = {xp} of complex numbers such that |xp|1/p⃗0 as p⃗∞. Γ can also be regarded as the space of integral functions f(z) = . The sequence space Γ is a vector space over the complex numbers with seminorms

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 11 , Issue 2 , July 1970 , pp. 162 - 166
Copyright
Copyright © Glasgow Mathematical Journal Trust 1970

References

REFERENCES

1.Rao, K. Chandrasekhara, Matrix transformations of some sequence spaces, Pacific J. Math, 31 (1969), 171–174.Google Scholar
2.Knopp, K. and Lorentz, G. G., Beiträge zur absoluten Limitierung, Arch. Math. 2 (1949), 10–16.CrossRefGoogle Scholar