Inductive limit of operators and its applications
J. Janas (1988)
Studia Mathematica
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J. Janas (1988)
Studia Mathematica
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Vladimír Muller, Andrzej Sołtysiak (1992)
Studia Mathematica
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A formula is given for the (joint) spectral radius of an n-tuple of mutually commuting Hilbert space operators analogous to that for one operator. This gives a positive answer to a conjecture raised by J. W. Bunce in [1].
Ernst J. Albrecht, Florian-Horia Vasilescu (1974)
Czechoslovak Mathematical Journal
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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.
J. Janas (1983)
Studia Mathematica
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A. Dash (1973)
Studia Mathematica
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Muneo Chō, Makoto Takaguchi (1981)
Studia Mathematica
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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.
Andrzej Pokrzywa (1981)
Studia Mathematica
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