Archivio istituzionale della ricerca dell'Università degli Studi di Palermo
IRIS è il sistema di gestione integrata dei dati della ricerca (persone, pubblicazioni, progetti, attività) adottato dall’Università di Palermo, e ha lo scopo di raccogliere, conservare, documentare, e diffondere ad accesso aperto le informazioni relative alla produzione scientifica degli autori afferenti all’Ateneo.
EnglishIn 2012, Găvruţa introduced the notions of K-frame and of atomic system for a linear bounded operator K in a Hilbert space H, in order to decompose its range R(K) with a frame-like expansion. In this article, we revisit these concepts for an unbounded and densely defined operator A: D(A) → H in two different ways. In one case, we consider a non-Bessel sequence where the coefficient sequence depends continuously on f∈ D(A) with respect to the norm of H. In the other case, we consider a Bessel sequence and the coefficient sequence depends continuously on f∈ D(A) with respect to the graph norm of A.
Bellomonte G., & Corso R. (2020). Frames and weak frames for unbounded operators. ADVANCES IN COMPUTATIONAL MATHEMATICS, 46(2) [10.1007/s10444-020-09773-3].
| Data di pubblicazione: | 2020 | |
| Titolo: | Frames and weak frames for unbounded operators | |
| Autori: | ||
| Citazione: | Bellomonte G., & Corso R. (2020). Frames and weak frames for unbounded operators. ADVANCES IN COMPUTATIONAL MATHEMATICS, 46(2) [10.1007/s10444-020-09773-3]. | |
| Rivista: | ||
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s10444-020-09773-3 | |
| Abstract: | In 2012, Găvruţa introduced the notions of K-frame and of atomic system for a linear bounded operator K in a Hilbert space H, in order to decompose its range R(K) with a frame-like expansion. In this article, we revisit these concepts for an unbounded and densely defined operator A: D(A) → H in two different ways. In one case, we consider a non-Bessel sequence where the coefficient sequence depends continuously on f∈ D(A) with respect to the norm of H. In the other case, we consider a Bessel sequence and the coefficient sequence depends continuously on f∈ D(A) with respect to the graph norm of A. | |
| Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica | |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| 10.1007@s10444-020-09773-3.pdf | articolo principale | Versione Editoriale | Administrator Richiedi una copia |
http://hdl.handle.net/10447/412648
Copyright © 2021