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-calculus for the sum of non-commuting operators
Authors:Jan Prü  ss   Gieri Simonett
Affiliation:Fachbereich Mathematik und Informatik, Martin-Luther-Universität Halle-Wittenberg, D-60120 Halle, Germany ; Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240
Abstract:A recent result of Kalton and Weis is extended to the case of non-commuting operators, employing the commutator condition of Labbas and Terreni, or of Da Prato and Grisvard. Under appropriate assumptions it is shown that the sum of two non-commuting operators admits an $ mathcal H^infty$-calculus. The main results are then applied to a parabolic problem on a wedge domain.

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