Revision as of 18:36, 27 October 2019 edit Mandarax (talk \| contribs) Autopatrolled, Extended confirmed users, Pending changes reviewers, Rollbackers 388,559 edits m interwining->intertwining - Fix a typo in one click ← Previous edit		Revision as of 15:08, 27 April 2020 edit undo JayBeeEll (talk \| contribs) Extended confirmed users, New page reviewers, Temporary account IP viewers 29,610 edits m replace Range (mathematics) (a redirect to a disambig page) with Range of a function Next edit →
Line 13: === Normal operators === Every normal operator is subnormal by definition, but the converse is not true in general. A simple class of examples can be obtained by weakening the properties of [[unitary operator]]s. A unitary operator is an isometry with [[dense set\|dense]] [[range ~~(mathematics)~~of a function\|range]]. Consider now an isometry ''A'' whose range is not necessarily dense. A concrete example of such is the [[unilateral shift]], which is not normal. But ''A'' is subnormal and this can be shown explicitly. Define an operator ''U'' on :<math>H \oplus H</math>

Subnormal operator: Difference between revisions