Few years ago Găvruţa gave the notions of K-frame and atomic system for a linear bounded operator K in a Hilbert space H in order to decompose R(K), the range of K, with a frame-like expansion. These notions are here generalized to the case of a densely defined and possibly unbounded operator A on a Hilbert space in a continuous setting, thus extending what have been done in a previous paper in a discrete framework.
Bellomonte, G. (2021). Continuous frames for unbounded operators. ADVANCES IN OPERATOR THEORY, 6(2), 1-28 [10.1007/s43036-021-00136-3].
Continuous frames for unbounded operators
Bellomonte, Giorgia
2021-01-01
Abstract
Few years ago Găvruţa gave the notions of K-frame and atomic system for a linear bounded operator K in a Hilbert space H in order to decompose R(K), the range of K, with a frame-like expansion. These notions are here generalized to the case of a densely defined and possibly unbounded operator A on a Hilbert space in a continuous setting, thus extending what have been done in a previous paper in a discrete framework.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Bellomonte-2021-Advances_in_Operator_Theory.pdf
accesso aperto
Descrizione: Articolo
Tipologia:
Versione Editoriale
Dimensione
636.9 kB
Formato
Adobe PDF
|
636.9 kB | Adobe PDF | Visualizza/Apri |
|
PublicationAgreement.pdf
Solo gestori archvio
Descrizione: Contratto editore/Agreement editore
Tipologia:
Contratto con l'editore (ATTENZIONE: NON TRASFERIRE A SITO DOCENTE)
Dimensione
59.47 kB
Formato
Adobe PDF
|
59.47 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.
