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H-joint numerical ranges

Published online by Cambridge University Press:  17 April 2009

Chi-Kwong Li
Affiliation:
Department of Mathematics, College of William and Mary, Williamsburg, VA 23187–8795, United States of America e-mail: ckli@wm.edu, lxrodm@math.wm.edu
Leiba Rodman
Affiliation:
Department of Mathematics, College of William and Mary, Williamsburg, VA 23187–8795, United States of America e-mail: ckli@wm.edu, lxrodm@math.wm.edu
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Abstract

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The notion of the joint numerical range of several linear operators with respect to a sesquilinear form is introduced. Geometrical properties of the joint numerical range are studied, in particular, convexity and angle points, in connection with the algebraic properties of the operators. The main focus is on the finite dimensional case.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2002

References

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