Linear Operators, Part 2 |
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Page 1180
( 66 ) sup \ y * ( x ) = ( x1 , xe B ; veY and that in consequence Corollary 22 is valid for functions f ( x , 8 ) with values in Hilbert space . Therefore , Corollary 23 generalizes , with hardly any change in its proof , to the space ...
( 66 ) sup \ y * ( x ) = ( x1 , xe B ; veY and that in consequence Corollary 22 is valid for functions f ( x , 8 ) with values in Hilbert space . Therefore , Corollary 23 generalizes , with hardly any change in its proof , to the space ...
Page 1262
28 Let a self adjoint operator A in a Hilbert space with O SA SI be given . Then there exists a Hilbert space H , 2 H , and an orthogonal projection Q in v such that Ax PQx , XEV , P denoting the orthogonal projection of Hi on H. 29 Let ...
28 Let a self adjoint operator A in a Hilbert space with O SA SI be given . Then there exists a Hilbert space H , 2 H , and an orthogonal projection Q in v such that Ax PQx , XEV , P denoting the orthogonal projection of Hi on H. 29 Let ...
Page 1773
APPENDIX = 9 - in , m00 Hilbert space is a linear vector space H over the field 0 of complex numbers , together with a complex function ( : , • ) defined on H xH with the following properties : ( i ) ( x , x ) = 0 if and only if x = 0 ...
APPENDIX = 9 - in , m00 Hilbert space is a linear vector space H over the field 0 of complex numbers , together with a complex function ( : , • ) defined on H xH with the following properties : ( i ) ( x , x ) = 0 if and only if x = 0 ...
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Contents
BAlgebras | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
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