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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
Abstract
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
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