Spectral sets for numerical range

Hubert Klaja, Javad Mashreghi, Thomas Ransford

Type: Article

Publication Date: 2017-01-01

Citations: 0

DOI: https://doi.org/10.7153/oam-2017-11-51

Abstract

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 already known for spectral sets.An important difference from the classical definition is the role played in the new definition by the base point.We present some examples to illustrate this aspect.

Locations

Operators and Matrices - View - PDF
arXiv (Cornell University) - View - PDF

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Action	Title	Year	Authors
+	Introduction to Hilbert Space: And the Theory of Spectral Multiplicity	1998	Paul R. Halmos
+	Completely Bounded Maps and Operator Algebras	2003	Vern I. Paulsen
+	Classical function theory, operator dilation theory, and machine computation on multiply-connected domains	2008	Jim Agler JOHN H. HARLAND Benjamin J. Raphael
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+ PDF Chat	On the field of values of oblique projections	2010	Valeria Simoncini Daniel B. Szyld
+	Symbolic calculus of operators with unit numerical radius	2008	S.W. Drury
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