Numerical range of contractions with finite defect numbers

04/30/2012 - 3:00pm
04/30/2012 - 4:00pm
Dan Timotin

Several recent results, mostly of Gau, Wu, and collaborators, deal with numerical ranges of contractive matrices. We intend to discuss possible extensions to con- tractions on infinite dimensional Hilbert spaces that have finite defect numbers. In particular, a thorough investigation is done on the possible shapes of the numerical ranges for compressed shifts. This is joint work with Hari Bercovici.

Davidson Lecture Hall, Claremont McKenna College
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