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math.FA2017★ 14 cited
Remarks on the Crouzeix-Palencia proof that the numerical range is a -spectral set
Thomas Ransford, Felix Schwenninger
Crouzeix and Palencia recently showed that the numerical range of a Hilbert-space operator is a -spectral set for the operator. One of the principal ingredients of thei…
math.FA2017
Spectral sets for numerical range
Hubert Klaja, Javad Mashreghi, Thomas Ransford
We define and study a numerical-range analogue of the notion of spectral set. Among the results obtained are a positivity criterion and a dilation theorem, analogous to those alrea…