A Shift Operator on L(H^2)

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We give definitions and some properties of the shift operator S_{L(H^2)} and multiplication operator on L(H^2). In addition, we obtain some properties of the commutant of the shift operator S_{L(H^2)} and characterize S_{L(H^2)}-invariant subspaces.
9 pages

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Functional Analysis, Operator Algebras, 42B30, 42B35, 17C65

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http://salesiana.dossiersoluciones.com/handle/123456789/119861

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612166
 http://arxiv.org/abs/math/0612166

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arXiv