Algebraic theory of atkinson operators

Notations: In this paper E denotes a linear space, δ(E) the set of all endomorphisms  of E , L(E) the set of all continuous endomorphisms of E if E is equipped with a vector  space topology.  If  T ∈δ (E),  then                        N(T) ={x:    Tx= 0}B(T) = {Tx:  x   ∈ E }∝ (T) =  dim N (T)β (T)...

Full description

Autores:
Heuser, Harro
Tipo de recurso:
Article of journal
Fecha de publicación:
1968
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42072
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42072
http://bdigital.unal.edu.co/32169/
Palabra clave:
Linear space
endomorphisms
operator
numbers
hypothesis
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_bf1aaa8fef3e737ad3f5f04a9f846ee7
oai_identifier_str oai:repositorio.unal.edu.co:unal/42072
network_acronym_str UNACIONAL2
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_abf2Heuser, Harrocec807d3-9db5-40a3-a840-5c4d204895c93002019-06-28T10:29:59Z2019-06-28T10:29:59Z1968https://repositorio.unal.edu.co/handle/unal/42072http://bdigital.unal.edu.co/32169/Notations: In this paper E denotes a linear space, δ(E) the set of all endomorphisms  of E , L(E) the set of all continuous endomorphisms of E if E is equipped with a vector  space topology.  If  T ∈δ (E),  then                        N(T) ={x:    Tx= 0}B(T) = {Tx:  x   ∈ E }∝ (T) =  dim N (T)β (T) = codim B(T)Based on the wo rk of Fredholm,  F. Riesz and Noether, Atkinson defined the abstract  concept of a Fredholm operador on a Banach space E : T ∈application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/31541Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 2, núm. 4 (1968); 137-143 0034-7426Heuser, Harro (1968) Algebraic theory of atkinson operators. Revista Colombiana de Matemáticas; Vol. 2, núm. 4 (1968); 137-143 0034-7426 .Algebraic theory of atkinson operatorsArtículo 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/ARTLinear spaceendomorphismsoperatornumbershypothesisORIGINAL31541-114713-1-PB.pdfapplication/pdf2237829https://repositorio.unal.edu.co/bitstream/unal/42072/1/31541-114713-1-PB.pdfe235aba3b7a23f341c60504886272a22MD51THUMBNAIL31541-114713-1-PB.pdf.jpg31541-114713-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6439https://repositorio.unal.edu.co/bitstream/unal/42072/2/31541-114713-1-PB.pdf.jpgd483bdd4ffa495bb4d92a6d72aaf8d0dMD52unal/42072oai:repositorio.unal.edu.co:unal/420722023-02-05 23:05:55.551Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Algebraic theory of atkinson operators
title Algebraic theory of atkinson operators
spellingShingle Algebraic theory of atkinson operators
Linear space
endomorphisms
operator
numbers
hypothesis
title_short Algebraic theory of atkinson operators
title_full Algebraic theory of atkinson operators
title_fullStr Algebraic theory of atkinson operators
title_full_unstemmed Algebraic theory of atkinson operators
title_sort Algebraic theory of atkinson operators
dc.creator.fl_str_mv Heuser, Harro
dc.contributor.author.spa.fl_str_mv Heuser, Harro
dc.subject.proposal.spa.fl_str_mv Linear space
endomorphisms
operator
numbers
hypothesis
topic Linear space
endomorphisms
operator
numbers
hypothesis
description Notations: In this paper E denotes a linear space, δ(E) the set of all endomorphisms  of E , L(E) the set of all continuous endomorphisms of E if E is equipped with a vector  space topology.  If  T ∈δ (E),  then                        N(T) ={x:    Tx= 0}B(T) = {Tx:  x   ∈ E }∝ (T) =  dim N (T)β (T) = codim B(T)Based on the wo rk of Fredholm,  F. Riesz and Noether, Atkinson defined the abstract  concept of a Fredholm operador on a Banach space E : T ∈
publishDate 1968
dc.date.issued.spa.fl_str_mv 1968
dc.date.accessioned.spa.fl_str_mv 2019-06-28T10:29:59Z
dc.date.available.spa.fl_str_mv 2019-06-28T10:29:59Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/ART
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/42072
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/32169/
url https://repositorio.unal.edu.co/handle/unal/42072
http://bdigital.unal.edu.co/32169/
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/31541
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. 2, núm. 4 (1968); 137-143 0034-7426
dc.relation.references.spa.fl_str_mv Heuser, Harro (1968) Algebraic theory of atkinson operators. Revista Colombiana de Matemáticas; Vol. 2, núm. 4 (1968); 137-143 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
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/42072/1/31541-114713-1-PB.pdf
https://repositorio.unal.edu.co/bitstream/unal/42072/2/31541-114713-1-PB.pdf.jpg
bitstream.checksum.fl_str_mv e235aba3b7a23f341c60504886272a22
d483bdd4ffa495bb4d92a6d72aaf8d0d
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
_version_ 1814089611523129344

Publicaciones similares