publication . Other literature type . 1984

Dilations preserving a bound on the norm of an operator

Davis, Chandler;
Open Access English
  • Published: 01 Jan 1984
  • Publisher: Centre for Mathematical Analysis, The Australian National University
Given Hilbert space operators A, B, C, one seeks an operator D such that $\| \left( \begin{array}{cc} A ~ C\\ B ~ D\end{array} \right) \| \leqq \mu$ for a pre-assigned bound $\mu$. In some contexts only the existence of D is called for; in others, one may want to know something about those D which work. This paper gives an exposition of the main theorems and of two of the many applications.
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Other literature type . 1984
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