Hilbert modules and their representation

A Hilbert module over a  C*-algebra A with identity is an unitary A-module H, endowed with an inner product taking values in A. We consider these modules and derive some of their elementary properties. Later we consider fields of Hilbert modules and obtain a representation of H by means of continuou...

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Autores:
Takahaschi, Alfonso
Tipo de recurso:
Article of journal
Fecha de publicación:
1979
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42568
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42568
http://bdigital.unal.edu.co/32665/
Palabra clave:
Hilbert module
C*-algebra
theorem
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Takahaschi, Alfonsofcebfac1-f849-49cc-8c32-27d03523bf333002019-06-28T10:57:14Z2019-06-28T10:57:14Z1979https://repositorio.unal.edu.co/handle/unal/42568http://bdigital.unal.edu.co/32665/A Hilbert module over a  C*-algebra A with identity is an unitary A-module H, endowed with an inner product taking values in A. We consider these modules and derive some of their elementary properties. Later we consider fields of Hilbert modules and obtain a representation of H by means of continuous sections. This result will be used in other papers ([7] and [8]) to get a duality  theorem and to study special Hilbert modules.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/32221Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 13, núm. 1 (1979); 1-38 0034-7426Takahaschi, Alfonso (1979) Hilbert modules and their representation. Revista Colombiana de Matemáticas; Vol. 13, núm. 1 (1979); 1-38 0034-7426 .Hilbert modules and their representationArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTHilbert moduleC*-algebratheoremORIGINAL32221-118733-1-PB.pdfapplication/pdf10540648https://repositorio.unal.edu.co/bitstream/unal/42568/1/32221-118733-1-PB.pdf30433b070624f91386595a272e64a6bdMD51THUMBNAIL32221-118733-1-PB.pdf.jpg32221-118733-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6793https://repositorio.unal.edu.co/bitstream/unal/42568/2/32221-118733-1-PB.pdf.jpg8cc7d32ff2da6ac0819245f6f033926eMD52unal/42568oai:repositorio.unal.edu.co:unal/425682024-02-05 23:07:08.377Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Hilbert modules and their representation
title Hilbert modules and their representation
spellingShingle Hilbert modules and their representation
Hilbert module
C*-algebra
theorem
title_short Hilbert modules and their representation
title_full Hilbert modules and their representation
title_fullStr Hilbert modules and their representation
title_full_unstemmed Hilbert modules and their representation
title_sort Hilbert modules and their representation
dc.creator.fl_str_mv Takahaschi, Alfonso
dc.contributor.author.spa.fl_str_mv Takahaschi, Alfonso
dc.subject.proposal.spa.fl_str_mv Hilbert module
C*-algebra
theorem
topic Hilbert module
C*-algebra
theorem
description A Hilbert module over a  C*-algebra A with identity is an unitary A-module H, endowed with an inner product taking values in A. We consider these modules and derive some of their elementary properties. Later we consider fields of Hilbert modules and obtain a representation of H by means of continuous sections. This result will be used in other papers ([7] and [8]) to get a duality  theorem and to study special Hilbert modules.
publishDate 1979
dc.date.issued.spa.fl_str_mv 1979
dc.date.accessioned.spa.fl_str_mv 2019-06-28T10:57:14Z
dc.date.available.spa.fl_str_mv 2019-06-28T10:57:14Z
dc.type.spa.fl_str_mv Artículo de revista
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url https://repositorio.unal.edu.co/handle/unal/42568
http://bdigital.unal.edu.co/32665/
dc.language.iso.spa.fl_str_mv spa
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dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/32221
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 13, núm. 1 (1979); 1-38 0034-7426
dc.relation.references.spa.fl_str_mv Takahaschi, Alfonso (1979) Hilbert modules and their representation. Revista Colombiana de Matemáticas; Vol. 13, núm. 1 (1979); 1-38 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
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eu_rights_str_mv openAccess
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dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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