TY - JOUR
AU - Bermúdez, T.
AU - Martinón, A.
T1 - Changes of signs in conditionally convergent series on a small set
LA - eng
PY - 2011
SP - 1831
EP - 1834
T2 - Applied Mathematics Letters
SN - 0893-9659
VL - 24
IS - 11
AB - We consider ideals I of subsets of the set of natural numbers N such that for every conditionally convergent series of real numbers ∑ n∈Nan and s∈R̄, then there is a sequence of signs δ=(δn)n∈N such that ∑ n∈Nδnan=s and N(δ):=n∈N: δn=-1∈I. We give some properties of such ideals and characterize them in terms of extendability to a summable ideal. © 2011 Elsevier Ltd. All rights reserved.
DO - 10.1016/j.aml.2011.04.045
UR - https://portalciencia.ull.es/documentos/5e3c364529995246bbf5dd62
DP - Dialnet - Portal de la Investigación
ER -