On joint spectra
E. Albrecht (1979)
Studia Mathematica
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Displaying similar documents to “A multi-dimensional spectral theory in C*-algebras”
On joint spectra
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.
Several variable spectral theory in the noncommutative case
Ernst Albrecht (1982)
Banach Center Publications
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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.
On generalized canonical commutation relations
Jan Rusinek (1990)
Studia Mathematica
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Analytic vectors and generation of one-parameter groups
Jan Rusinek (1984)
Studia Mathematica
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Some classes of commuting n-tuples of operators
Muneo Chō, Makoto Takaguchi (1984)
Studia Mathematica
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Non-analytic local spectral properties in several variables
Ernst J. Albrecht, Florian-Horia Vasilescu (1974)
Czechoslovak Mathematical Journal
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On a theorem of Lebow and Mlak for several commuting operators
J. Janas (1983)
Studia Mathematica
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The monogenic functional calculus
Brian Jefferies, Alan McIntosh, James Picton-Warlow (1999)
Studia Mathematica
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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.