×

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

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.

MSC:

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