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H-joint numerical ranges

Published online by Cambridge University Press:  17 April 2009

Chi-Kwong Li  and
Leiba Rodman
Chi-Kwong Li
Affiliation:
Department of Mathematics, College of William and Mary, Williamsburg, VA 23187–8795, United States of America e-mail: [email protected], [email protected]
Leiba Rodman
Affiliation:
Department of Mathematics, College of William and Mary, Williamsburg, VA 23187–8795, United States of America e-mail: [email protected], [email protected]
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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
Information
Bulletin of the Australian Mathematical Society , Volume 66 , Issue 1 , August 2002 , pp. 105 - 117
Copyright
Copyright © Australian Mathematical Society 2002

References

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