Continuous projections onto ideal convergent sequences

Articolo
Data di Pubblicazione:
2018
Abstract:
Let I⊆ P(ω) be a meager ideal. Then there are no continuous projections from ℓ∞ onto the set of bounded sequences which are I-convergent to 0. In particular, it follows that the set of bounded sequences statistically convergent to 0 is not isomorphic to ℓ∞.
Tipologia CRIS:
Articolo su Rivista
Keywords:
asymptotic density zero sets; complementability; I-convergent sequence; I-maximal almost disjoint family; Meager ideal
Elenco autori:
Autori di Ateneo:
Link alla scheda completa:
https://irinsubria.uninsubria.it/handle/11383/2142094
Pubblicato in:
RESULTS IN MATHEMATICS
Journal