Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895020 | Journal of Geometry and Physics | 2010 | 9 Pages |
Abstract
In a recent work, Colombo (in press) [1], we developed a functional calculus for bounded operators defined on quaternionic Banach spaces. In this paper we show how the results from the above-mentioned work can be extended to the unbounded case, and we highlight the crucial differences between the two cases. In particular, we deduce a new eigenvalue equation, suitable for the construction of a functional calculus for operators whose spectrum is not necessarily real.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Fabrizio Colombo, Graziano Gentili, Irene Sabadini, Daniele C. Struppa,