Abstract
One of the principal achievements of the spectral theorem is to reduce the study of a normal operator to subspaces with various desirable properties. The following assertion is one way to say that the spectral theorem provides many reducing subspaces.
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© 1974 Springer-Verlag New York Inc.
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Halmos, P.R. (1974). Unilateral shift. In: A Hilbert Space Problem Book. Graduate Texts in Mathematics, vol 19. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-9976-0_14
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DOI: https://doi.org/10.1007/978-1-4615-9976-0_14
Publisher Name: Springer, New York, NY
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