Article contents
On the Connectedness of the Sets of Limit Points of Certain Transforms of Bounded Sequences(1)
Published online by Cambridge University Press: 20 November 2018
Extract
The transforms discussed here are the quasi-Hausdorff (Theorem 1), the [J, ƒ(x)] (Theorem 2) and the Borel integral means (Theorem 3). We are concerned here with whether or not the limit-points of these transforms of bounded sequences form connected sets. Such a set is one which cannot be decomposed into the union of two disjoint nonempty open sets.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1971
Footnotes
This work was assisted by a grant from the National Research Council of Canada.
References
- 3
- Cited by