RT journal article
T1 Vector-valued spaces of multiplier statistically convergent series and uniform convergence
A1 García Pacheco, Francisco Javier
A1 Kama, Ramazan
A1 Murillo Arcila, Marina
A2 Matemáticas
K1 Statistical convergence
K1 uniform convergence
K1 unconditionally convergent series
K1 weakly unconditionally Cauchy series
AB In this paper, we introduce the spaces of vector-valued sequences containing multiplier(weakly) statistically convergent series. The completeness of such spaces is studied aswell as some relations between unconditionally convergent and weakly unconditionallyCauchy series of these spaces. We also obtain generalizations of some results regarding uniform convergence of unconditionally convergent series through the concept of statistical convergence. Finally, we provide a version of the Orlicz-Pettis theorem for $\lambda$ -multiplier convergent operator series by means of the statistical convergence.
PB Springer
SN 1420-9012
YR 2022
FD 2022
LK http://hdl.handle.net/10498/35342
UL http://hdl.handle.net/10498/35342
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026