NORMAL OPERATORS IN REAL ANDQUATERNIONIC ...
Document type :
Pré-publication ou Document de travail: Autre communication scientifique (congrès sans actes - poster - séminaire...)
Title :
NORMAL OPERATORS IN REAL ANDQUATERNIONIC HILBERT SPACES
Author(s) :
English keyword(s) :
real spectral measures
complex extensions of real and quater- nionic normal operators
spectral decompositions
complex extensions of real and quater- nionic normal operators
spectral decompositions
HAL domain(s) :
Mathématiques [math]
English abstract : [en]
There exists already a concept of quaternionic normal operator, acting on Hilbert bimodules on the quaternionic algebra H, such an operatorhaving a spectral decomposition obtained via a spectral measure definedon subsets ...
Show more >There exists already a concept of quaternionic normal operator, acting on Hilbert bimodules on the quaternionic algebra H, such an operatorhaving a spectral decomposition obtained via a spectral measure definedon subsets of H. Unlike other authors, we start our investigation by anew approach to real normal operators, applying the results to quaternionic normal operators, regarded as special cases of the real ones, havingspectrum and spectral measures defined on subsets of the complex plane.See https://doi.org/10.48550/arXiv.2103.16266Show less >
Show more >There exists already a concept of quaternionic normal operator, acting on Hilbert bimodules on the quaternionic algebra H, such an operatorhaving a spectral decomposition obtained via a spectral measure definedon subsets of H. Unlike other authors, we start our investigation by anew approach to real normal operators, applying the results to quaternionic normal operators, regarded as special cases of the real ones, havingspectrum and spectral measures defined on subsets of the complex plane.See https://doi.org/10.48550/arXiv.2103.16266Show less >
Language :
Anglais
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