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The H∞-functional calculus

Lookup NU author(s): Dr David KimseyORCiD

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Abstract

© Springer Nature Switzerland AG 2018. The H∞-functional calculus is an extension of the Riesz-Dunford functional calculus for bounded operators to unbounded sectorial operators, and it was introduced by A. McIntosh in [165]; see also [5]. This calculus is connected with pseudodifferential operators, with Kato’s square root problem, and with the study of evolution equations and, in particular, the characterization of maximal regularity and with the fractional powers of differential operators. For an overview and more problems associated with this functional calculus for the classical case, see the book [156] and the references therein.

Publication metadata

Author(s): Colombo F, Gantner J, Kimsey DP

Publication type: Book Chapter

Publication status: Published

Book Title: Operator Theory: Advances and Applications

Year: 2018

Volume: 270

Pages: 137-149

Online publication date: 05/01/2019

Acceptance date: 02/04/2018

Publisher: Birkhaeuser Verlag AG

URL: https://doi.org/10.1007/978-3-030-03074-2_6

DOI: 10.1007/978-3-030-03074-2_6

Library holdings: Search Newcastle University Library for this item

ISBN: 9783030030735

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