A Fredholm theory on Krein spaces and its application to Weyl-type theorems and homogeneous equations

Simple item page
dc.contributor.authorPolo Ojito, Danilo
dc.contributor.authorSanabria, Jose
dc.contributor.authorOspino Buelvas, Yina
dc.date.accessioned2025-01-20T21:01:16Z
dc.date.available2025-01-20T21:01:16Z
dc.date.issued2022
dc.description.abstractIn this paper, we review the approach presented by An and Heo on the study of Weyl-type theorems for self-adjoint operators on Krein spaces and show that this approach is not appropriate due to a fallacy. Motivated by this fact, we define a new modification of the kernel of a bounded linear operator on a Krein space, namely J -kernel, which allows us to successfully introduce a Fredholm theory in this context and study some variations of Weyl-type theorems for bounded linear operators defined on these spaces. In addition, we will describe the J -index in terms of solution sets of homogeneous equations.
dc.description.funderANID-Subdireccion de Capital Humano/Doctorado Nacional
dc.fuente.origenWOS
dc.identifier.doi10.55730/1300-0098.3294
dc.identifier.eissn1303-6149
dc.identifier.issn1300-0098
dc.identifier.urihttps://doi.org/10.55730/1300-0098.3294
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/92847
dc.identifier.wosidWOS:000888592500008
dc.issue.numero7
dc.language.isoen
dc.pagina.final2689
dc.pagina.inicio2677
dc.revistaTurkish journal of mathematics
dc.rightsacceso restringido
dc.subjectFredholm theory
dc.subjectKrein space
dc.subjectWeyl's theorem
dc.subjecthomogeneous equation
dc.titleA Fredholm theory on Krein spaces and its application to Weyl-type theorems and homogeneous equations
dc.typeartículo
dc.volumen46
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
Files
Collections
Artículos de revistas