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H ∞ Functional Calculus and Characterization of Domains of Fractional Powers

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Recent Advances in Operator Theory and Applications

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 187))

Abstract

Characterization of the domains of fractional powers of linear operators is very important in the study of (linear or nonlinear) abstract parabolic evolution equations. In this paper we present a new method of utilizing the H ∞ functional calculus of linear operators.

This work is supported by Grant-in-Aid for Scientific Research (No. 16340046) by Japan Society for the Promotion of Science.

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Author information

Authors and Affiliations

  1. Department of Applied Physics, Osaka University, Suita, Osaka, 565-0871, Japan

    Atsushi Yagi

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  1. Atsushi Yagi
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Editor information

Editors and Affiliations

  1. Tsuyoshi Ando, Hokkaido University (Emeritus), Sapporo, Japan

    Tsuyoshi Ando

  2. Department of Mathematics, University of Iowa, Iowa City, IA, 52242, USA

    Raúl E. Curto

  3. Department of Mathematics, Kyungpook National University, Daegu, 702-701, Korea

    Il Bong Jung

  4. Department of Mathematics, Seoul National University, Seoul, 151-747, Korea

    Woo Young Lee

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Yagi, A. (2008). H ∞ Functional Calculus and Characterization of Domains of Fractional Powers. In: Ando, T., Curto, R.E., Jung, I.B., Lee, W.Y. (eds) Recent Advances in Operator Theory and Applications. Operator Theory: Advances and Applications, vol 187. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8893-5_15

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