International Journal of Functional Analysis, Operator Theory and Applications
Volume 12, Issue 1, Pages 37 - 44
(June 2020)
http://dx.doi.org/10.17654/FA012010037 |
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DECOMPOSITION OF NORMAL OPERATORS AND ITS APPLICATION TO SPECTRAL THEOREM
Katsukuni Nakagawa
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Abstract:
A decomposition theorem for self-adjoint operators proved by Riesz and Lorch is extended to normal operators. This extension gives a new proof of the spectral theorem for unbounded normal operators. |
| Keywords and phrases: normal operators, self-adjoint operators, spectral theorem.
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