A constructive proof of the composition rule for Taylor's functional calculus
Mats Andersson; Sebastian Sandberg
Studia Mathematica (2000)
- Volume: 142, Issue: 1, page 65-69
- ISSN: 0039-3223
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top- [1] M. Andersson, Taylor's functional calculus with Cauchy-Fantappiè-Leray formulas Internat. Math. Res. Notes 6 (1997), 247-258
- [2] M. Andersson, Correction to 'Taylor's functional calculus with Cauchy-Fantappiè-Leray for- mulas' ibid. 2 (1998), 123-124
- [3] M. Andersson and B. Berndtsson, Nonholomorphic functional calculus for several commuting operators with real spectrumin preparation
- [5] E. M. Dynkin, An operator calculus based on the Cauchy-Green formula Zap. Nauchn. Sem. LOMI 30 (1972), 33-40 (in Russian)
- [6] J. Eschmeier and M. Putinar, Spectral Decompositions and Analytic Sheaves Clarendon Press, Oxford, 1996
- [7] M. Putinar, The superposition property for Taylor's functional calculus J. Operator Theory 7 (1982), 149-155 Zbl0483.46028
- [8] S. Sandberg, On non-holomorphic functional calculus for commuting operatorspreprint, 1999 Zbl0929.47008
- [9] J. L. Taylor, A joint spectrum for several commuting operators J. Funct. Anal. 6 (1970), 172-191 Zbl0233.47024
- [10] J. L. Taylor, The analytic-functional calculus for several commuting operators Acta Math. 125 (1970), 1-38 Zbl0233.47025
- [11] J. L. Taylor, Homology and cohomology for topological algebras Adv. Math. 9 (1972), 137-182 Zbl0271.46040
- [12] J. L. Taylor, A general framework for a multi-operator functional calculus ibid., 184-252