Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 |
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Page 1948
The sum and the product of two commuting bounded spectral operators in Hilbert space are also spectral operators . The proof of this corollary will use the following lemma . 6 LEMMA . Let A and B be bounded operators in Hilbert space ...
The sum and the product of two commuting bounded spectral operators in Hilbert space are also spectral operators . The proof of this corollary will use the following lemma . 6 LEMMA . Let A and B be bounded operators in Hilbert space ...
Page 2098
The fact that a finite number of commuting spectral operators in a Hilbert space can be simultaneously transformed into normal operators by passing to an equivalent inner product is due to Wermer [ 3 ] . He based his argument on a ...
The fact that a finite number of commuting spectral operators in a Hilbert space can be simultaneously transformed into normal operators by passing to an equivalent inner product is due to Wermer [ 3 ] . He based his argument on a ...
Page 2177
Introduction > The sum and product of two commuting bounded normal operators in Hilbert space is normal and hence spectral . In Corollary XV.6.5 it was seen that this principle could be extended to the sum and product of two commuting ...
Introduction > The sum and product of two commuting bounded normal operators in Hilbert space is normal and hence spectral . In Corollary XV.6.5 it was seen that this principle could be extended to the sum and product of two commuting ...
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Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Terminology and Preliminary Notions | 1929 |
Copyright | |
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