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Eigenmeasures and stochastic diagonalization of bilinear maps

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Eigenmeasures and stochastic diagonalization of bilinear maps

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dc.contributor.author Erdogan, Ezgi es_ES
dc.contributor.author Sánchez Pérez, Enrique Alfonso es_ES
dc.date.accessioned 2022-06-08T18:06:10Z
dc.date.available 2022-06-08T18:06:10Z
dc.date.issued 2021-04 es_ES
dc.identifier.issn 0170-4214 es_ES
dc.identifier.uri http://hdl.handle.net/10251/183135
dc.description.abstract [EN] A new stochastic approach is presented to understand general spectral type problems for (not necessarily linear) functions between topological spaces. In order to show its potential applications, we construct the theory for the case of bilinear forms acting in couples of a Banach space and its dual. Our method consists of using integral representations of bilinear maps that satisfy particular domination properties, which is shown to be equivalent to having a certain spectral structure. Thus, we develop a measure-based technique for the characterization of bilinear operators having a spectral representation, introducing the notion of eigenmeasure, which will become the central tool of our formalism. Specific applications are provided for operators between finite and infinite dimensional linear spaces. es_ES
dc.description.sponsorship Ministerio de Ciencia, Innovacion y Universidades; Agencia Estatal de investigacion; FEDER, Grant/Award Number: MTM2016-77054-C2-1-P es_ES
dc.language Inglés es_ES
dc.publisher John Wiley & Sons es_ES
dc.relation.ispartof Mathematical Methods in the Applied Sciences es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Banach space es_ES
dc.subject Eigenmeasure es_ES
dc.subject Eigenvalue es_ES
dc.subject Multilinear operators es_ES
dc.subject Nonlinear spectral theory es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Eigenmeasures and stochastic diagonalization of bilinear maps es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1002/mma.7085 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINISTERIO DE ECONOMÍA Y COMPETITIVIDAD//MTM2016-77054-C2-1-P//ANÁLISIS NO LINEAL, INTEGRACIÓN VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACIÓN/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Erdogan, E.; Sánchez Pérez, EA. (2021). Eigenmeasures and stochastic diagonalization of bilinear maps. Mathematical Methods in the Applied Sciences. 44(6):5021-5039. https://doi.org/10.1002/mma.7085 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1002/mma.7085 es_ES
dc.description.upvformatpinicio 5021 es_ES
dc.description.upvformatpfin 5039 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 44 es_ES
dc.description.issue 6 es_ES
dc.relation.pasarela S\458232 es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder MINISTERIO DE ECONOMÍA Y COMPETITIVIDAD es_ES


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