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Expansion of analytic functions of an operator in series of Faber polynomials

Published online by Cambridge University Press:  17 April 2009

Maurice Hasson
Maurice Hasson
Affiliation:
Department of MathematicsRutgers UniversityNew Brunswick NJ 08903United States of America e-mail: hasson@math.rutgers.edu
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Abstract

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Let T: B → B be a bounded linear operator on the complex Banach space B and let f(z) be analytic on a domain D containing the spectrum Sp(T) of T. Then f(T) is defined by

where C is a contour surrounding SP(T) and contained in D.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 2 , October 1997 , pp. 303 - 318
Copyright
Copyright © Australian Mathematical Society 1997

References

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