Abstract
The recent decade has brought several new important constructions and applications of analytic functional calculi (mainly related to S.Brown’s technique, employing such calculi based on the algebra H∞ (G) of all bounded analytic functions on a domain G⊂C). One may hope that similar advances are to come in several variables spectral theory, in dealing with an n-tuple τ of commuting operators. Perhaps other algebras A⊂H∞(G) will be more suitable when n>1.
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© 1986 Springer Basel AG
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Rudol, K. (1986). Spectral Mapping Theorems for Analytic Functional Calculi. In: Douglas, R.G., Pearcy, C.M., Sz.-Nagy, B., Vasilescu, FH., Voiculescu, D., Arsene, G. (eds) Advances in Invariant Subspaces and Other Results of Operator Theory. Operator Theory: Advances and Applications, vol 17. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7698-8_23
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DOI: https://doi.org/10.1007/978-3-0348-7698-8_23
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