Banach Spaces with respect to Operator-Valued Norms

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We introduce the notions of L(H)-valued norms and Banach spaces with respect to L(H)-valued norms. In particular, we introduce Hilbert spaces with respect to L(H)-valued inner products. In addition, we provide several fundamental examples of Hilbert spaces with respect to L(H)-valued inner products.
13 page

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Functional Analysis, Operator Algebras, 46B45 ; 46C07

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http://salesiana.dossiersoluciones.com/handle/123456789/156028

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.0041
 http://arxiv.org/abs/0803.0041

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arXiv