Convergence fields of regular matrix transformations

Rok, strany: 2004, 153 - 157

The limitation method performed by a regular matrix transformation is well-known and it is treated in monographs (see [R. G. Cooke: Infinite Matrices and Sequence Spaces], [G. M. Petersen: Regular Matrix Transformations]). In the present paper we investigate, convergence fields of regular matrix transformations. The notions of both the Baire category and the porosity of sets seem to be suitable. We show, in general, that the set of sequences which are convergent in this limitation method is “small”. Note that paper by [T. Šalát: On convergence fields of regular matrix transformations, Czech. Math. J. 26 (1976), 613–627] is devoted to the problem.

ISO 690:

Kostyrko, P. 2004. Convergence fields of regular matrix transformations. In Tatra Mountains Mathematical Publications, vol. 28, no.2, pp. 153-157. 1210-3195.

APA:

Kostyrko, P. (2004). Convergence fields of regular matrix transformations. Tatra Mountains Mathematical Publications, 28(2), 153-157. 1210-3195.