Subnormal operator: Difference between revisions

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Revision as of 18:31, 26 October 2021 edit Michael Hardy (talk \| contribs) Administrators 210,597 edits →Non-uniqueness of normal extensions ← Previous edit		Latest revision as of 12:09, 22 July 2025 edit undo 193.0.82.142 (talk) →Definition: I removed a wrong reference to "normal extension" - that Wikipedia page discusses an algebraic notion, and not the relevant topic in operator theory. Tags: Mobile edit Mobile web edit
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Line 2: ==Definition== Let ''H'' be a Hilbert space. A bounded operator ''A'' on ''H'' is said to be '''subnormal''' if ''A'' has a [[normal extension]]. In other words, ''A'' is subnormal if there exists a Hilbert space ''K'' such that ''H'' can be embedded in ''K'' and there exists a normal operator ''N'' of the form :<math>N = \begin{bmatrix} A & B\\ 0 & C\end{bmatrix}</math> Line 118: {{DEFAULTSORT:Subnormal Operator}} [[Category:Operator theory]] [[Category:Linear operators]]