Abstract
The H∞-functional calculus was originally introduced in [170] by Alan McIntosh. His approach was generalized to quaternionic sectorial operators that are injective and have dense range in [30]. Moreover, under the above assumptions, in [30], it is also treated the case of n-tuples of noncommuting operators.
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Colombo, F., Gantner, J. (2019). The H∞-Functional Calculus. In: Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes. Operator Theory: Advances and Applications, vol 274. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-16409-6_7
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DOI: https://doi.org/10.1007/978-3-030-16409-6_7
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