On parallel summability of matrices
β Scribed by Sujit Kumar Mitra; Patrick L. Odell
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 804 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper we consider generalized Norlund methods (Nap), a > -1, power series methods (J,) and the iteration product of two such methods. A particular case is that of the Cesaro means (C,) with corresponding power series method (A), i.e., Abel's method. We obtain generalizations of inclusion, an
## Abstract We study some properties of strongly and absolutely __p__βsumming bilinear operators. We show that HilbertβSchmidt bilinear mappings are both strongly and absolutely __p__βsumming, for every __p__ β₯ 1. Giving an example of a strongly 1βsumming bilinear mapping which fails to be weakly c
Let T = (tm,J (m, n = I, 2 ,...; all t,,, , > 0) define a regular summability method. It is known [l] that there is a bounded divergent sequence whose T-transform is also divergent. Here we point out that one can say more: namely, that for some real, bounded, divergent sequence {a,}~=, , its T-trans