On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces

Pablos Romo, Fernando

doi:10.1007/s40840-021-01156-1

Título

On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces

dc.contributor.author	Pablos Romo, Fernando
dc.date.accessioned	2022-05-19T07:29:53Z
dc.date.available	2022-05-19T07:29:53Z
dc.date.issued	2021
dc.identifier.citation	Romo, F.P. (2021). On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces. Bull. Malays. Math. Sci. Soc. 44, 4085–4107. https://doi.org/10.1007/s40840-021-01156-1	es_ES
dc.identifier.issn	0126-6705
dc.identifier.uri	http://hdl.handle.net/10366/149784
dc.description.abstract	[EN] The aim of this work is to study the structure of bounded finite potent endomorphisms on Hilbert spaces. In particular, for these operators, an answer to the Invariant Subspace Problem is given and the main properties of its adjoint operator are offered. Moreover, for every bounded finite potent endomorphism we show that Tate’s trace coincides with the Leray trace and with the trace defined by R. Elliott for Riesz Trace Class operators	es_ES
dc.description.sponsorship	Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.	es_ES
dc.format.mimetype	application/pdf
dc.language.iso	eng	es_ES
dc.publisher	Springerlink	es_ES
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Adjoint operator	es_ES
dc.subject	Bounded operator	es_ES
dc.subject	Hilbert space	es_ES
dc.subject	Finite potent endomorphism	es_ES
dc.subject	Leray trace	es_ES
dc.subject	Riesz operator	es_ES
dc.title	On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.relation.publishversion	https://doi.org/10.1007/s40840-021-01156-1	es_ES
dc.subject.unesco	12 Matemáticas	es_ES
dc.subject.unesco	1204 Geometría	es_ES
dc.subject.unesco	1210 Topología	es_ES
dc.subject.unesco	1201.01 Geometría Algebraica	es_ES
dc.identifier.doi	10.1007/s40840-021-01156-1
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es_ES
dc.identifier.essn	2180-4206
dc.journal.title	Bulletin of the Malaysian Mathematical Sciences Society	es_ES
dc.volume.number	44	es_ES
dc.issue.number	6	es_ES
dc.page.initial	4085	es_ES
dc.page.final	4107	es_ES
dc.type.hasVersion	info:eu-repo/semantics/publishedVersion	es_ES
dc.description.project	Publicación en abierto financiada por el Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE), con cargo al Programa Operativo 2014ES16RFOP009 FEDER 2014-2020 DE CASTILLA Y LEÓN, Actuación:20007-CL - Apoyo Consorcio BUCLE	es_ES