A constructive proof of the composition rule for Taylor's functional calculus

• Autorzy: Mats Andersson , Sebastian Sandberg
• Języki publikacji: EN

Abstrakty

EN

We give a new constructive proof of the composition rule for Taylor's functional calculus for commuting operators on a Banach space.

Słowa kluczowe

EN

Taylor spectrum; functional calculus; Cauchy-Fantappiè-Leray formula

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 142
• Numer: 1
• Strony: 65-69

Daty

wydano

2000

otrzymano

1999-11-02

Twórcy

autor

Mats Andersson

• Department of Mathematics, Chalmers University of Technology, and, University of Göteborg, S-412 96 Göteborg, Sweden

autor

Sebastian Sandberg

• Department of Mathematics, Chalmers University of Technology, and, University of Göteborg, S-412 96 Göteborg, Sweden

Bibliografia

• [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
• [4] B. Droste, Extension of analytic functional calculus mappings and duality by $\bar 𝛛$-closed forms with growthMath. Ann. 261 (1982), 185-200
• [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
• [8] S. Sandberg, On non-holomorphic functional calculus for commuting operatorspreprint, 1999
• [9] J. L. Taylor, A joint spectrum for several commuting operators J. Funct. Anal. 6 (1970), 172-191
• [10] J. L. Taylor, The analytic-functional calculus for several commuting operators Acta Math. 125 (1970), 1-38
• [11] J. L. Taylor, Homology and cohomology for topological algebras Adv. Math. 9 (1972), 137-182
• [12] J. L. Taylor, A general framework for a multi-operator functional calculus ibid., 184-252