Título
On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces
Autor(es)
Palabras clave
Adjoint operator
Bounded operator
Hilbert space
Finite potent endomorphism
Leray trace
Riesz operator
Clasificación UNESCO
12 Matemáticas
1204 Geometría
1210 Topología
1201.01 Geometría Algebraica
Fecha de publicación
2021
Editor
Springerlink
Citación
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
Resumen
[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
URI
ISSN
0126-6705
DOI
10.1007/s40840-021-01156-1
Versión del editor
Aparece en las colecciones
Patrocinador
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
