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      Normal operators in real and quaternionic Hilbert spaces

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          Abstract

          A new approach to normal operators in real Hilbert spaces is discussed, and spectral decompositions are obtained, via unique associated real spectral measures on complex subsets, having a more classical flavor. The results are then applied to quaternionic normal operators, which are regarded as special classes of real normal operators.

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          Author and article information

          Journal
          30 March 2021
          Article
          2103.16266
          2d357eb7-0284-4011-8e48-ece094700e0b

          http://creativecommons.org/licenses/by/4.0/

          History
          Custom metadata
          18 pages, research work
          math.FA

          Functional analysis
          Functional analysis

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