Isometries of Hilbert C*-modules

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It is shown that every linear surjective isometry between two right, full, Hilbert C*-modules is a sum of two maps : a (bi-) module map (which is completely isometric and preserves the inner product) and a map that reverses the (bi-) module actions. Every such isometry can be extended to an isometry of the C* linking algebras.
41 pages, Latex, To appear in the Transactions of AMS

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Operator Algebras, Functional Analysis, 46L08; 46L07; 46B99

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http://salesiana.dossiersoluciones.com/handle/123456789/61331

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0104188
 http://arxiv.org/abs/math/0104188

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arXiv