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Titlebook: Spectral Theory on the S-Spectrum for Quaternionic Operators; Fabrizio Colombo,Jonathan Gantner,David P. Kimsey Book 2018 Springer Nature

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The Spectral Theorem for Bounded Normal Operators,In this chapter we prove the spectral theorem for bounded normal operators . in ..
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The Spectral Theorem for Unbounded Normal Operators,In this section we will consider normal operators . that are unbounded.
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Spectral Theory on the S-Spectrum for Quaternionic Operators978-3-030-03074-2Series ISSN 0255-0156 Series E-ISSN 2296-4878
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The ,-Functional Calculus for Unbounded Operators, 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 [124], while the .-resolvent equation is in [50].
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