Displaying similar documents to “A multi-dimensional spectral theory in C*-algebras”

Vasilescu-Martinelli formula for operators in Banach spaces

V. Kordula, V. Müller (1995)

Studia Mathematica

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We prove a formula for the Taylor functional calculus for functions analytic in a neighbourhood of the splitting spectrum of an n-tuple of commuting Banach space operators. This generalizes the formula of Vasilescu for Hilbert space operators and is closely related to a recent result of D. W. Albrecht.

Integral formulae for special cases of Taylor's functional calculus

D. Albrecht (1993)

Studia Mathematica

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In this paper integral formulae, based on Taylor's functional calculus for several operators, are found. Special cases of these formulae include those of Vasilescu and Janas, and an integral formula for commuting operators with real spectra.