Numerical Ranges and Dilations Dedicated to Professor Yik-Hoi Au-Yeung on the occasion of his retirement
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چکیده
Denote by W (A) the numerical range of a bounded linear operator A. For two operators A and B (which may act on different Hilbert spaces), we study the relation between the inclusion relation W (A) ⊆W (B) and the condition that A can be dilated to an operator of the form B ⊗ I. We also investigate the possibilities of dilating an operator A to operators with simple structure under the assumption that W (A) is included in a special region.
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تاریخ انتشار 2004