Symmetric perturbation of a self-adjoint operator

We give a proof, which is valid in both real and complex Hilbert spaces, of the following  result: If A is self-adjoint, B is symmetric D(B)  ⊃ D(A), || Bx|| and lt; a ||x|| + ||Ax|| for x∈ D(A),  then  A+bB is self-adjoint for [Formula]

Autores:
Rao, Duggirala K.
Tipo de recurso:
Article of journal
Fecha de publicación:
1973
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42288
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42288
http://bdigital.unal.edu.co/32385/
Palabra clave:
Complex Hilbert
self-adjoint operator
Symmetric perturbation
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/42288
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network_name_str Universidad Nacional de Colombia
repository_id_str
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_abf2Rao, Duggirala K.70d141f5-846f-4baf-b6dc-f8776a273b943002019-06-28T10:41:32Z2019-06-28T10:41:32Z1973https://repositorio.unal.edu.co/handle/unal/42288http://bdigital.unal.edu.co/32385/We give a proof, which is valid in both real and complex Hilbert spaces, of the following  result: If A is self-adjoint, B is symmetric D(B)  ⊃ D(A), || Bx|| and lt; a ||x|| + ||Ax|| for x∈ D(A),  then  A+bB is self-adjoint for [Formula]application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/31888Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 7, núm. 2 (1973); 81-84 0034-7426Rao, Duggirala K. (1973) Symmetric perturbation of a self-adjoint operator. Revista Colombiana de Matemáticas; Vol. 7, núm. 2 (1973); 81-84 0034-7426 .Symmetric perturbation of a self-adjoint operatorArtículo 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/ARTComplex Hilbertself-adjoint operatorSymmetric perturbationORIGINAL31888-116555-1-PB.pdfapplication/pdf766268https://repositorio.unal.edu.co/bitstream/unal/42288/1/31888-116555-1-PB.pdffe7f58e5fe1f243cda14c80cb9a45d7fMD51THUMBNAIL31888-116555-1-PB.pdf.jpg31888-116555-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6114https://repositorio.unal.edu.co/bitstream/unal/42288/2/31888-116555-1-PB.pdf.jpgef3e1ccb38673aad573a571dac7e6663MD52unal/42288oai:repositorio.unal.edu.co:unal/422882024-02-04 23:06:34.75Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Symmetric perturbation of a self-adjoint operator
title Symmetric perturbation of a self-adjoint operator
spellingShingle Symmetric perturbation of a self-adjoint operator
Complex Hilbert
self-adjoint operator
Symmetric perturbation
title_short Symmetric perturbation of a self-adjoint operator
title_full Symmetric perturbation of a self-adjoint operator
title_fullStr Symmetric perturbation of a self-adjoint operator
title_full_unstemmed Symmetric perturbation of a self-adjoint operator
title_sort Symmetric perturbation of a self-adjoint operator
dc.creator.fl_str_mv Rao, Duggirala K.
dc.contributor.author.spa.fl_str_mv Rao, Duggirala K.
dc.subject.proposal.spa.fl_str_mv Complex Hilbert
self-adjoint operator
Symmetric perturbation
topic Complex Hilbert
self-adjoint operator
Symmetric perturbation
description We give a proof, which is valid in both real and complex Hilbert spaces, of the following  result: If A is self-adjoint, B is symmetric D(B)  ⊃ D(A), || Bx|| and lt; a ||x|| + ||Ax|| for x∈ D(A),  then  A+bB is self-adjoint for [Formula]
publishDate 1973
dc.date.issued.spa.fl_str_mv 1973
dc.date.accessioned.spa.fl_str_mv 2019-06-28T10:41:32Z
dc.date.available.spa.fl_str_mv 2019-06-28T10:41:32Z
dc.type.spa.fl_str_mv Artículo de revista
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/42288
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/32385/
url https://repositorio.unal.edu.co/handle/unal/42288
http://bdigital.unal.edu.co/32385/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/31888
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. 7, núm. 2 (1973); 81-84 0034-7426
dc.relation.references.spa.fl_str_mv Rao, Duggirala K. (1973) Symmetric perturbation of a self-adjoint operator. Revista Colombiana de Matemáticas; Vol. 7, núm. 2 (1973); 81-84 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
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
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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