A note on partial isometries on pseudo-Hilbert spaces

Loredana Ciurdariu; P\u{a}storel Ga\c{s}par

arxiv: 1302.3207 · v1 · pith:EYF3FXCLnew · submitted 2013-02-13 · 🧮 math.FA

A note on partial isometries on pseudo-Hilbert spaces

P\u{a}storel Ga\c{s}par , Loredana Ciurdariu This is my paper

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keywords gramianpartialspaceaccessibleassociateddifferencefinalinitial

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The aim of this paper is to show that two accessible subspaces in the Loynes $\mathcal{Z}$ - space $\Hc$ are the initial and final space of a partial gramian isometry, respectively if the norm of the difference of the associated gramian selfadjoint projections is strictly less than 1.

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A note on partial isometries on pseudo-Hilbert spaces

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