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Submethods Of Regular Matrix Summability Methods

Published online by Cambridge University Press:  20 November 2018

Casper Goffman  and
G. M. Petersen
Casper Goffman
Affiliation:
University of Oklahoma
G. M. Petersen
Affiliation:
University of Oklahoma
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By a submethod of a regular matrix method A we mean a method (see 1 or 3) whose matrix is obtained by deleting a set of rows from the matrix A. We establish a one-one correspondence between the submethods of A and the points of the interval 0 < ξ ≤We designate the submethod which corresponds to 𝞷 by A (𝞷) and are accordingly able to speak of sets of submethods of measure 0, of the first category, etc.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 8 , 1956 , pp. 40 - 46
Copyright
Copyright © Canadian Mathematical Society 1956

References

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