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 2094
They show that if T is spectral , then T * has a unique resolution of the identity of class ( X ) ; moreover , if T * is spectral of class ( 1 ) where l ' şX ** , then it has a unique resolution of the identity of class ( l ' ) .
They show that if T is spectral , then T * has a unique resolution of the identity of class ( X ) ; moreover , if T * is spectral of class ( 1 ) where l ' şX ** , then it has a unique resolution of the identity of class ( l ' ) .
Page 2183
Moreover , P is evidently a projection in B. The set B is clearly a subalgebra of A ( T ) . Let B denote its closure in the uniform topology of operators . By Theorem XV.4.5 and the fact that a scalar type operator is clearly in the ...
Moreover , P is evidently a projection in B. The set B is clearly a subalgebra of A ( T ) . Let B denote its closure in the uniform topology of operators . By Theorem XV.4.5 and the fact that a scalar type operator is clearly in the ...
Page 2470
Moreover , by this same lemma , we have ( 49 ) || T || 2 = I SS 114 , ( a , b ) / 2 ( da ) u ( db ) . 1.j = 1 R Using ( 48 ) and the fact that fi ( a ) = 0 for a Ely , we have + n 2 ( 50 ) S ** | Testuj ] ? de = SOLS 4 ( a , b ) f ( b ) ...
Moreover , by this same lemma , we have ( 49 ) || T || 2 = I SS 114 , ( a , b ) / 2 ( da ) u ( db ) . 1.j = 1 R Using ( 48 ) and the fact that fi ( a ) = 0 for a Ely , we have + n 2 ( 50 ) S ** | Testuj ] ? de = SOLS 4 ( a , b ) f ( b ) ...
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Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Terminology and Preliminary Notions | 1929 |
Copyright | |
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