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Abstract:

Given a discrete group and a unitary representation on a Hilbert space H, we prove that the notions of operator Bracket map and Gramian coincide on a dense set of H. As a consequence, combining this result with known frame theory, we can recover all previous Bracket characterizations of Riesz and frame sequences generated by a single element under a unitary representation. © 2017, Universitat de Barcelona.

Registro:

Documento: Artículo
Título:Group Riesz and frame sequences: the Bracket and the Gramian
Autor:Barbieri, D.; Hernández, E.; Paternostro, V.
Filiación:Universidad Autónoma de Madrid, Madrid, 28049, Spain
Universidad de Buenos Aires and IMAS-CONICET, Consejo Nacional de Investigaciones Científicas y Técnicas, Buenos Aires, 1428, Argentina
Palabras clave:Bracket map; Gramian operator; Group von Neumann algebras; Invariant subspaces; Riesz and frame sequences
Año:2018
Volumen:69
Número:2
Página de inicio:221
Página de fin:236
DOI: http://dx.doi.org/10.1007/s13348-017-0202-x
Título revista:Collectanea Mathematica
Título revista abreviado:Collect. Math.
ISSN:00100757
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00100757_v69_n2_p221_Barbieri

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Citas:

---------- APA ----------
Barbieri, D., Hernández, E. & Paternostro, V. (2018) . Group Riesz and frame sequences: the Bracket and the Gramian. Collectanea Mathematica, 69(2), 221-236.
http://dx.doi.org/10.1007/s13348-017-0202-x
---------- CHICAGO ----------
Barbieri, D., Hernández, E., Paternostro, V. "Group Riesz and frame sequences: the Bracket and the Gramian" . Collectanea Mathematica 69, no. 2 (2018) : 221-236.
http://dx.doi.org/10.1007/s13348-017-0202-x
---------- MLA ----------
Barbieri, D., Hernández, E., Paternostro, V. "Group Riesz and frame sequences: the Bracket and the Gramian" . Collectanea Mathematica, vol. 69, no. 2, 2018, pp. 221-236.
http://dx.doi.org/10.1007/s13348-017-0202-x
---------- VANCOUVER ----------
Barbieri, D., Hernández, E., Paternostro, V. Group Riesz and frame sequences: the Bracket and the Gramian. Collect. Math. 2018;69(2):221-236.
http://dx.doi.org/10.1007/s13348-017-0202-x