Subnormal operator: Difference between revisions

Revision as of 14:41, 15 June 2017

Revision as of 14:43, 15 June 2017

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{{Unreferenced|date=November 2006}}

In [[mathematics]], especially [[operator theory]], '''subnormal operators''' are [[bounded operator]]s on a [[Hilbert space]] defined by weakening the requirements for [[normal operator]]s. <ref name="Conway1991">{{citation|author=John B. Conway|title=The Theory of Subnormal Operators|url=https://books.google.com/books?id=Ho7yBwAAQBAJ|accessdate=15 June 2017|year=1991|publisher=American Mathematical Soc.|isbn=978-0-8218-1536-6|page=27|chapter=11}}</ref> Some examples of subnormal operators are [[isometry|isometries]] and [[Toeplitz operator]]s with analytic symbols.

==Definition==