Abstract
The functional calculus of several commuting dissipative elements of a complex Banach algebra with identity, first introduced in the preceding work by the author, is developed. Uniqueness, continuity, and stability theorems, composite function theorems, and a formula for the resolvent are established. Applications to the theory of sectorial operators in Hilbert space are given.
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References
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Translated fromMatematickeskie Zametki, Vol. 64, No. 3, pp. 423–430, September, 1998.
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Mirotin, A.R. Functions from the Schoenberg classT act in the cone of dissipative elements of a Banach algebra. IIact in the cone of dissipative elements of a Banach algebra. II. Math Notes 64, 364–370 (1996). https://doi.org/10.1007/BF02314846
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DOI: https://doi.org/10.1007/BF02314846