Linear Operators, Part 2 |
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Page 898
If E is the resolution of the identity for the normal operator T and if d is a Borel set of complex numbers , then E ( ) T = TE ( ) , o ( T8 ) Co , where To is the restriction of T to E ( O ) . Proof . The first statement follows from ...
If E is the resolution of the identity for the normal operator T and if d is a Borel set of complex numbers , then E ( ) T = TE ( ) , o ( T8 ) Co , where To is the restriction of T to E ( O ) . Proof . The first statement follows from ...
Page 920
Let E and Ể be the resolutions of the identity for T and † respectively . From Corollary 2.7 it is seen that È = VEV - 1 and hence that F ( T ) = VF ( T ) V - 1 for every bounded Borel function F. The mapping W = Ū V of H onto 2n = 1 ...
Let E and Ể be the resolutions of the identity for T and † respectively . From Corollary 2.7 it is seen that È = VEV - 1 and hence that F ( T ) = VF ( T ) V - 1 for every bounded Borel function F. The mapping W = Ū V of H onto 2n = 1 ...
Page 1717
By induction on Jil , we can readily show that a formal identity ( 1 ) 2010 ( x ) 02 = C ( x ) 21213 + 201202 Σ C3,1 ... Making use of identities of the type ( 1 ) , we may evidently proceed to prove by induction on the order of that t ...
By induction on Jil , we can readily show that a formal identity ( 1 ) 2010 ( x ) 02 = C ( x ) 21213 + 201202 Σ C3,1 ... Making use of identities of the type ( 1 ) , we may evidently proceed to prove by induction on the order of that t ...
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Contents
BAlgebras | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
Copyright | |
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