Functional calculus and the Gelfand transformation
M. Putinar (1984)
Studia Mathematica
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Displaying similar documents to “On Taylor functional calculus”
Functional calculus and the Gelfand transformation
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A study is made of a symmetric functional calculus for a system of bounded linear operators acting on a Banach space. Finite real linear combinations of the operators have real spectra, but the operators do not necessarily commute with each other. Analytic functions of the operators are formed by using functions taking their values in a Clifford algebra.
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The Słodkowski spectra and higher Shilov boundaries
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We investigate relations between the spectra defined by Słodkowski [14] and higher Shilov boundaries of the Taylor spectrum. The results generalize the well-known relation between the approximate point spectrum and the usual Shilov boundary.