A triangle inequality for angles in a hilbert space
Let x,y,z be unit vectors in a Hilbert space, and define the angle θxy by cos θxy = Re (x,y), 0 ≤ θxy ≤ π. The object this note is to give a proof of the following inequality (1) θxz and lt; θxy + θyz .
- Autores:
-
Rao, D. K.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1976
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/42485
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/42485
http://bdigital.unal.edu.co/32582/
- Palabra clave:
- Unit vectors
Hilbert space
triangle inequality
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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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, D. K.9c6124ae-cb8e-4645-bee5-5cd17393f08d3002019-06-28T10:52:28Z2019-06-28T10:52:28Z1976https://repositorio.unal.edu.co/handle/unal/42485http://bdigital.unal.edu.co/32582/Let x,y,z be unit vectors in a Hilbert space, and define the angle θxy by cos θxy = Re (x,y), 0 ≤ θxy ≤ π. The object this note is to give a proof of the following inequality (1) θxz and lt; θxy + θyz .application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/32125Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 10, núm. 3 (1976); 95-97 0034-7426Rao, D. K. (1976) A triangle inequality for angles in a hilbert space. Revista Colombiana de Matemáticas; Vol. 10, núm. 3 (1976); 95-97 0034-7426 .A triangle inequality for angles in a hilbert spaceArtículo 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/ARTUnit vectorsHilbert spacetriangle inequalityORIGINAL32125-118192-1-PB.pdfapplication/pdf586821https://repositorio.unal.edu.co/bitstream/unal/42485/1/32125-118192-1-PB.pdf575e0d1bdb4de266f4cde12779372172MD51THUMBNAIL32125-118192-1-PB.pdf.jpg32125-118192-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5102https://repositorio.unal.edu.co/bitstream/unal/42485/2/32125-118192-1-PB.pdf.jpg12c0de72db0612571daef70a0f95c984MD52unal/42485oai:repositorio.unal.edu.co:unal/424852023-02-07 23:06:51.732Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
A triangle inequality for angles in a hilbert space |
| title |
A triangle inequality for angles in a hilbert space |
| spellingShingle |
A triangle inequality for angles in a hilbert space Unit vectors Hilbert space triangle inequality |
| title_short |
A triangle inequality for angles in a hilbert space |
| title_full |
A triangle inequality for angles in a hilbert space |
| title_fullStr |
A triangle inequality for angles in a hilbert space |
| title_full_unstemmed |
A triangle inequality for angles in a hilbert space |
| title_sort |
A triangle inequality for angles in a hilbert space |
| dc.creator.fl_str_mv |
Rao, D. K. |
| dc.contributor.author.spa.fl_str_mv |
Rao, D. K. |
| dc.subject.proposal.spa.fl_str_mv |
Unit vectors Hilbert space triangle inequality |
| topic |
Unit vectors Hilbert space triangle inequality |
| description |
Let x,y,z be unit vectors in a Hilbert space, and define the angle θxy by cos θxy = Re (x,y), 0 ≤ θxy ≤ π. The object this note is to give a proof of the following inequality (1) θxz and lt; θxy + θyz . |
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1976 |
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1976 |
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2019-06-28T10:52:28Z |
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2019-06-28T10:52:28Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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Text |
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publishedVersion |
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https://repositorio.unal.edu.co/handle/unal/42485 |
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http://bdigital.unal.edu.co/32582/ |
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https://repositorio.unal.edu.co/handle/unal/42485 http://bdigital.unal.edu.co/32582/ |
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spa |
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spa |
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http://revistas.unal.edu.co/index.php/recolma/article/view/32125 |
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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. 10, núm. 3 (1976); 95-97 0034-7426 |
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Rao, D. K. (1976) A triangle inequality for angles in a hilbert space. Revista Colombiana de Matemáticas; Vol. 10, núm. 3 (1976); 95-97 0034-7426 . |
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Derechos reservados - Universidad Nacional de Colombia |
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http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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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 |
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openAccess |
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application/pdf |
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Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas |
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Universidad Nacional de Colombia |
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