Young's inequality in trace-class operators

If a and b are trace-class operators, and if u is a partial isometry, then , where ∥⋅∥1 denotes the norm in the trace class. The present paper characterises the cases of equality in this Young inequality, and the characterisation is examined in the context of both the operator and the Hilbert–Schmid...

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Detalles Bibliográficos
Autores principales: Argerami, Martín, Farenick, Douglas
Formato: Articulo
Lenguaje:Inglés
Publicado: 2003
Materias:
Matemática
Operator inequalities
Norms of matrices
Numerical range
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123768
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-123768
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Operator inequalities
Norms of matrices
Numerical range
spellingShingle Matemática
Operator inequalities
Norms of matrices
Numerical range
Argerami, Martín
Farenick, Douglas
Young's inequality in trace-class operators
topic_facet Matemática
Operator inequalities
Norms of matrices
Numerical range
description If a and b are trace-class operators, and if u is a partial isometry, then , where ∥⋅∥1 denotes the norm in the trace class. The present paper characterises the cases of equality in this Young inequality, and the characterisation is examined in the context of both the operator and the Hilbert–Schmidt forms of Young's inequality.
format Articulo
Articulo
author Argerami, Martín
Farenick, Douglas
author_facet Argerami, Martín
Farenick, Douglas
author_sort Argerami, Martín
title Young's inequality in trace-class operators
title_short Young's inequality in trace-class operators
title_full Young's inequality in trace-class operators
title_fullStr Young's inequality in trace-class operators
title_full_unstemmed Young's inequality in trace-class operators
title_sort young's inequality in trace-class operators
publishDate 2003
url http://sedici.unlp.edu.ar/handle/10915/123768
work_keys_str_mv AT argeramimartin youngsinequalityintraceclassoperators
AT farenickdouglas youngsinequalityintraceclassoperators
bdutipo_str Repositorios
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