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∞.
Continuous projections onto ideal convergent sequences
Leonetti P
2018-01-01
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∞.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
projection.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
Creative commons
Dimensione
344.37 kB
Formato
Adobe PDF
|
344.37 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
