We investigate relationships between inessential operators and improjective operators acting between Banach spaces X and Y, emphasizing the case in which one of the spaces is a C(K) space. We show that they coincide in many cases, but they are different in the case X=Y =C(K 0), where K 0 is a compact space constructed by Koszmider. Mathematics Subject Classification (2000)47A53 KeywordsInessential operators-Improjective operators-Fredholm theory
Aiena, P., Gonzalez, M. (2010). Intrinsic characterizations of perturbation classes on some Banach spaces. ARCHIV DER MATHEMATIK, 94 (2010)(4), 373-381 [10.1007/s00013-010-0103-7].
Intrinsic characterizations of perturbation classes on some Banach spaces
AIENA, Pietro;
2010-01-01
Abstract
We investigate relationships between inessential operators and improjective operators acting between Banach spaces X and Y, emphasizing the case in which one of the spaces is a C(K) space. We show that they coincide in many cases, but they are different in the case X=Y =C(K 0), where K 0 is a compact space constructed by Koszmider. Mathematics Subject Classification (2000)47A53 KeywordsInessential operators-Improjective operators-Fredholm theory
| File | Dimensione | Formato | |
|---|---|---|---|
|
49353.pdf
Solo gestori archvio
Dimensione
169.22 kB
Formato
Adobe PDF
|
169.22 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.
