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Título:
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A continuous model for quasinilpotent operators.
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Autores:
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Gallardo Gutiérrez, Eva A. ;
Partington, Jonathan R. ;
Rodriguez, Daniel J.
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Tipo de documento:
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texto impreso
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Editorial:
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Springer, 2016-05-11
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Dimensiones:
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application/pdf
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Nota general:
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cc_by
info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores
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Tipo = Artículo
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Resumen:
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A classical result due to Foias and Pearcy establishes a discrete model for every quasinilpotent operator acting on a separable, infinite-dimensional complex Hilbert space HH . More precisely, given a quasinilpotent operator T on HH , there exists a compact quasinilpotent operator K in HH such that T is similar to a part of K?K???K??K?K???K?? acting on the direct sum of countably many copies of HH . We show that a continuous model for any quasinilpotent operator can be provided. The consequences of such a model will be discussed in the context of C0C0 -semigroups of quasinilpotent operators.
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En línea:
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https://eprints.ucm.es/38211/1/Gallardo26.pdf
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