A study about (P,Q) and ε-{2,3,4} generalized inverses

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dc.audiencegeneralPublic
dc.contributorKantún Montiel, Gabriel
dc.contributorDjordjević, Slaviša
dc.contributor.advisorKANTUN MONTIEL, GABRIEL; 160208
dc.contributor.advisorDJORDJEVIC, SLAVISA; 121235
dc.contributor.authorSALGADO MATIAS, ERICK
dc.creatorSALGADO MATIAS, ERICK; 813978
dc.date.accessioned2023-12-04T16:55:17Z
dc.date.available2023-12-04T16:55:17Z
dc.date.issued2023-06
dc.description.abstract“The concept of generalized inverse in mathematics is a generalization of the notion of inverse of a matrix or function. It is a useful tool to solve systems of linear and nonlinear equations, as well as to study properties of linear or nonlinear operators. There are different types of generalized inverses, according to the type of relationship considered and the conditions imposed on the objects of study. So, if we consider B(H, K) the set of bounded linear operators with H and K be a infinite dimension complex Hilbert spaces, then we define a new generalized inverse, called ϵ-{2,3,4} inverse. This inverse exists even if operator doesn’t has closed range. Therefore, the objectives of this thesis work are: Define a new generalized inverse for bounded linear operators between Banach spaces. Give a block matrix representation of the operator and its generalized inverse. Define a new generalized inverse for bounded linear operators between infinite-dimensional complex Hilbert spaces, where the operators considered does not necessarily have a closed range. Give a block matrix representation of the operator and its generalized inverse. Using block matrix representations of an operator, we will have a detailed structure of its generalized inverse”.
dc.folio20230629161625-6702-T
dc.formatpdf
dc.identificator1
dc.identifier.urihttps://hdl.handle.net/20.500.12371/19592
dc.language.isoeng
dc.matricula.creator219570058
dc.publisherBenemérita Universidad Autónoma de Puebla
dc.rights.accesopenAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject.classificationCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
dc.subject.lccÁlgebra lineal
dc.subject.lccMatrices
dc.subject.lccEcuaciones diferenciales lineales
dc.subject.lccEspacios de Banach
dc.subject.lccEspacio de Hilbert
dc.subject.lccOperadores lineales--Inversos generalizados
dc.thesis.careerDoctorado en Ciencias (Matemáticas)
dc.thesis.degreedisciplineÁrea de Ingeniería y Ciencias Exactas
dc.thesis.degreegrantorFacultad de Ciencias Físico Matemáticas
dc.thesis.degreetoobtainDoctor (a) en Ciencias (Matemáticas)
dc.titleA study about (P,Q) and ε-{2,3,4} generalized inverses
dc.typeTesis de doctorado
dc.type.conacytdoctoralThesis
dc.type.degreeDoctorado
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