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A category theorem for double sequences
- Source :
-
Applied Mathematics Letters . Oct2011, Vol. 24 Issue 10, p1680-1684. 5p. - Publication Year :
- 2011
-
Abstract
- Abstract: The goal of this paper is to present the following multidimensional category theorem for double sequences via four-dimensional matrix transformations. The set of second category double subsequences of the double sequence is summable by a four-dimensional RH-regular matrix if and only if is -convergent. This theorem is established using multidimensional sliding hump constructions for bounded and unbounded doubles sequences. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08939659
- Volume :
- 24
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics Letters
- Publication Type :
- Academic Journal
- Accession number :
- 60923383
- Full Text :
- https://doi.org/10.1016/j.aml.2011.04.017