The S-Functional Calculus for Unbounded Operators
The S-functional calculus can also be defined for unbounded operators. We consider a two-sided quaternionic Banach space X and we introduce a notation for the set of unbounded operators that we consider in this chapter. These results are taken from the papers [67,97], where we reduce the case of unbounded operators, with suitable transformations, to the case of bounded operators. The direct approach has been studied in the more recent paper , while the S-resolvent equation is in .
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