2017
Том 69
№ 7

All Issues

On absolute, perfect, and unconditional convergences of double series in Banach spaces

Kadets M. I.

Full text (.pdf)


Abstract

We prove that, in the case of double series, perfect and unconditional convergences coincide, while absolute and perfect convergences do not coincide even for numerical series.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 8, pp 1158-1168.

Citation Example: Kadets M. I. On absolute, perfect, and unconditional convergences of double series in Banach spaces // Ukr. Mat. Zh. - 1997. - 49, № 8. - pp. 1032–1041. August.

Full text