Abstract
The powers (with real or complex exponents) of positive operators are important tools in the study of partial differential equations. The theory of powers of operators is very close to interpolation theory, even if in general the domain of a power of a positive operator is not an interpolation space. Although the theory of powers of operators can be seen as a particular case of the Functional Calculus (e.g., [51, 52]), here we give simple self-contained proofs, according to the spirit of these lecture notes.
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© 2018 Scuola Normale Superiore Pisa
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Lunardi, A. (2018). Powers of positive operators. In: Interpolation Theory. CRM Series(), vol 16. Edizioni della Normale, Pisa. https://doi.org/10.1007/978-88-7642-638-4_4
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DOI: https://doi.org/10.1007/978-88-7642-638-4_4
Publisher Name: Edizioni della Normale, Pisa
Print ISBN: 978-88-7642-639-1
Online ISBN: 978-88-7642-638-4
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