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This article is cited in 8 scientific papers (total in 8 papers)
Functions from the Schoenberg class $\mathscr T$ act in the cone of dissipative elements of a Banach algebra. II
A. R. Mirotin Francisk Skorina Gomel State University
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.
Received: 01.08.1997
Citation:
A. R. Mirotin, “Functions from the Schoenberg class $\mathscr T$ act in the cone of dissipative elements of a Banach algebra. II”, Mat. Zametki, 64:3 (1998), 423–430; Math. Notes, 64:3 (1998), 364–370
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https://www.mathnet.ru/eng/mzm1413https://doi.org/10.4213/mzm1413 https://www.mathnet.ru/eng/mzm/v64/i3/p423
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