Revision as of 15:42, 6 December 2014 edit Tinchote (talk \| contribs) 33 edits →Normality, quasinormality, and subnormality: Mistake in the normal extension Tags: Mobile edit Mobile web edit ← Previous edit		Revision as of 15:52, 6 December 2014 edit undo Tinchote (talk \| contribs) 33 edits m Undid revision 636895038 by Tinchote (talk) Next edit →
Line 20: by :<math> U = \begin{bmatrix} A & (I - AA^)^{1/2} \\ ~~(I-A^A)^{1/2}~~0 & - A^* \end{bmatrix}.</math> Direct calculation shows that ''U'' is unitary, therefore a normal extension of ''A''. The operator ''U'' is called the ''[[unitary dilation]]'' of the isometry ''A''.

Subnormal operator: Difference between revisions