Talk:Dilation (operator theory)

I have rewritten the article. The previous version was one sentence long and not quite correct. Dilation in operator theory is not dilation on metric spaces. Unitary dilations are not the same as isometric ones. I also remove the mathematical analysis part from the stub tag, as it's more of an operator theoretic topic. Mct mht 18:35, 21 April 2006 (UTC)

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Also, T(I - T*T) = (I - TT*)T implies

$TD_{T}=D_{T^{*}}T.$

How would you prove that?

--Leni536 (talk) 01:49, 14 April 2010 (UTC)

By functional calculus. Approximate the square root function using polynomials. Mct mht (talk) 05:54, 25 April 2010 (UTC)