Remarks on infinite series in linear normed spaces. (English) Zbl 0984.40001

Dindoš, Martin; Martišovitš, Ilja; Šalát, Tibor

Tatra Mt. Math. Publ. 19, No. 1, 31-46 (2000).

The authors have generalized to linear normed space setting various theorems on preservation of convergence of series under an application of a function to each term of a series or under rearrangement. Some measure and category aspects of subseries of series in linear normed spaces have also been studied in detail.

Reviewer: Frantiszek Prus-Wiśniowski (Szczecin)

MSC:

40A05	Convergence and divergence of series and sequences
46B99	Normed linear spaces and Banach spaces; Banach lattices

Keywords:

linear normed spaces; series; subseries