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Isometries of Hilbert C*-modules

Baruch Solel
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Abstract

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.

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Baruch Solel. 2001-04-19. Isometries of Hilbert C*-modules. https://arxiv.org/abs/math/0104188

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