Geodesic
Functions from the Schoenberg class $\mathscr T$ act in the cone of dissipative elements of a Banach algebra. II
Matematičeskie zametki, Tome 64 (1998) no. 3, pp. 423-430 
A. R. Mirotin. Functions from the Schoenberg class $\mathscr T$ act in the cone of dissipative elements of a Banach algebra. II. Matematičeskie zametki, Tome 64 (1998) no. 3, pp. 423-430. http://geodesic.mathdoc.fr/item/MZM_1998_64_3_a10/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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