2005Studia MathematicaOpen access

H∞functional calculus for sectorial and bisectorial operators

Giovanni Dore, Alberto Venni

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Abstract

We give a concise exposition of the basic theory of $H^\infty$ functional calculus for $N$-tuples of sectorial or bisectorial operators, with respect to operator-valued functions; moreover we restate and prove in our setting a result of N. Kalton and L. W

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We give a concise exposition of the basic theory of $H^\infty$ functional calculus for $N$-tuples of sectorial or bisectorial operators, with respect to operator-valued functions; moreover we restate and prove in our setting a result of N. Kalton and L. W

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Available abstract

We give a concise exposition of the basic theory of $H^\infty$ functional calculus for $N$-tuples of sectorial or bisectorial operators, with respect to operator-valued functions; moreover we restate and prove in our setting a result of N. Kalton and L. W

Key concepts: Mathematics, Functional calculus, Exposition (narrative), Operator (biology), Tuple, Calculus (dental), Algebra over a field, Holomorphic functional calculus

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