On matrix transformations
Copyright policy )On matrix transformations
Let \(\delta\) be the space of all sequences \((x_ n)_{n\in {\mathbb{N}}}\) for which \(| x_ n|^{1/n}\to 0\) as \(n\to \infty\). The matrices \(A=[a_{ij}]_{i,j\in {\mathbb{N}}}\) are characterized which define a matrix transformation \(A:\ell^ 1\to \delta\). The main theorem and its proof are improvements of results of \textit{K. C. Rao}, Glasg. J. Math. 11, 162- 166 (1970; Zbl 0203.431).
entire, normal, nuclear, perfect and simple sequence spaces, Commutators, derivations, elementary operators, etc., sequence spaces, matrix transformation, Sequence spaces (including Köthe sequence spaces)
entire, normal, nuclear, perfect and simple sequence spaces, Commutators, derivations, elementary operators, etc., sequence spaces, matrix transformation, Sequence spaces (including Köthe sequence spaces)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!