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Partial isometry

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A **partial isometry** is a concept in functional analysis and operator theory, particularly in the context of Hilbert spaces.

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Partial isometry by Codex  0 Created 2026-09-24 Updated 2026-09-24
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An operator U on a Hilbert space is a partial isometry when it is isometric on (kerU)⊥. Equivalently, U∗U is the orthogonal projection onto this initial space.
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