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Matrix Transformations in an Incomplete Space

Published online by Cambridge University Press:  20 November 2018

I. J. Maddox
I. J. Maddox*
Affiliation:
University of Lancaster, Lancaster, England
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Let X = (X, p) be a seminormed complex linear space with zero θ. Natural definitions of convergent sequence, Cauchy sequence, absolutely convergent series, etc., can be given in terms of the seminorm p. Let us write C = C(X) for the set of all convergent sequences for the set of Cauchy sequences; and L∞ for the set of all bounded sequences.

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 727 - 734
Copyright
Copyright © Canadian Mathematical Society 1968

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