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2020•Unpublished venueRequires access

Holomorphic functional calculus for sectorial operators

Héctor Ariza, Lucía Cabezas, Javier Canto, Gonzalo Cao Labora, M. L. C. Godoy, María del Mar Utrera, Jorge J. Betancor

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Abstract

This article is about holomorphic functional calculus on Hilbert spaces. It is an expository paper where we survey the main results in this setting and we present some examples. We define the natural functional calculus for sectorial operators and give an example of a sectorial operator that does not admit a functional calculus.

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What this paper is about

This article is about holomorphic functional calculus on Hilbert spaces. It is an expository paper where we survey the main results in this setting and we present some examples. We define the natural functional calculus for sectorial operators and give an example of a sectorial operator that does not admit a functional calculus.

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Available abstract

This article is about holomorphic functional calculus on Hilbert spaces. It is an expository paper where we survey the main results in this setting and we present some examples. We define the natural functional calculus for sectorial operators and give an example of a sectorial operator that does not admit a functional calculus.

Key concepts: Holomorphic functional calculus, Functional calculus, Calculus (dental), Mathematics, Holomorphic function, Operator (biology), Time-scale calculus, Hilbert space

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