On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces
[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 poten...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Salamanca (USAL) |
| Repositorio: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/149784 |
| Acceso en línea: | http://hdl.handle.net/10366/149784 |
| Access Level: | acceso abierto |
| Palabra clave: | Adjoint operator Bounded operator Hilbert space Finite potent endomorphism Leray trace Riesz operator 12 Matemáticas 1204 Geometría 1210 Topología 1201.01 Geometría Algebraica |
| Sumario: | [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 |
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