Young's inequality in trace-class operators
- Autores
- Argerami, Martín; Farenick, Douglas
- Año de publicación
- 2003
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
Facultad de Ciencias Exactas - Materia
-
Matemática
Operator inequalities
Norms of matrices
Numerical range - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/123768
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Young's inequality in trace-class operatorsArgerami, MartínFarenick, DouglasMatemáticaOperator inequalitiesNorms of matricesNumerical rangeIf 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.Facultad de Ciencias Exactas2003info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf727-744http://sedici.unlp.edu.ar/handle/10915/123768enginfo:eu-repo/semantics/altIdentifier/issn/0025-5831info:eu-repo/semantics/altIdentifier/issn/1432-1807info:eu-repo/semantics/altIdentifier/doi/10.1007/s00208-002-0400-yinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:29:28Zoai:sedici.unlp.edu.ar:10915/123768Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:29:28.933SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Young's inequality in trace-class operators |
| title |
Young's inequality in trace-class operators |
| spellingShingle |
Young's inequality in trace-class operators Argerami, Martín Matemática Operator inequalities Norms of matrices Numerical range |
| 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 |
| dc.creator.none.fl_str_mv |
Argerami, Martín Farenick, Douglas |
| author |
Argerami, Martín |
| author_facet |
Argerami, Martín Farenick, Douglas |
| author_role |
author |
| author2 |
Farenick, Douglas |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Matemática Operator inequalities Norms of matrices Numerical range |
| topic |
Matemática Operator inequalities Norms of matrices Numerical range |
| dc.description.none.fl_txt_mv |
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. Facultad de Ciencias Exactas |
| 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. |
| publishDate |
2003 |
| dc.date.none.fl_str_mv |
2003 |
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http://sedici.unlp.edu.ar/handle/10915/123768 |
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eng |
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eng |
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