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Some Results for the Generalized Lototsky Transform

Published online by Cambridge University Press:  20 November 2018

V. F. Cowling  and
C. L. Miracle
V. F. Cowling
Affiliation:
University of Kentucky
C. L. Miracle
Affiliation:
University of Minnesota
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Let A = (ank) and x = {sn} (n,k = 0,1,2, … ) be a matrix and a sequence of complex numbers, respectively. We write formally

(1.1)

and say that the sequence x is summable A to the sum t or that the A matrix sums the sequence x to the value t if the series in (1.1) converges and

exists and equals t. We say that the matrix A is regular provided it sums every convergent sequence to its limit.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 14 , 1962 , pp. 418 - 435
Copyright
Copyright © Canadian Mathematical Society 1962

References

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