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Approximation in Bounded Summability Fields

Published online by Cambridge University Press:  20 November 2018

J. D. Hill  and
W. T. Sledd
J. D. Hill
Affiliation:
Michigan State University, East Lansing, Michigan
W. T. Sledd
Affiliation:
Michigan State University, East Lansing, Michigan
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This paper deals with several related properties of bounded summability fields of regular, real matrices. For a matrix A = (ank) and a sequence x = {xn}, we write formally

We denote by m the space of bounded real sequences, and by A* the bounded summability field

of A. The strong summability field of A is the set

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 410 - 415
Copyright
Copyright © Canadian Mathematical Society 1968

References

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