## Linear Operators: Spectral theory |

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Page 1180

( 66 ) sup y * ( x ) = x1 , 16 B ; yeY and that in consequence Corollary 22 is valid

for functions f ( x , 8 ) with values in

generalizes , with hardly any change in its proof , to the space of functions | with

values ...

( 66 ) sup y * ( x ) = x1 , 16 B ; yeY and that in consequence Corollary 22 is valid

for functions f ( x , 8 ) with values in

**Hilbert space**. Therefore , Corollary 23generalizes , with hardly any change in its proof , to the space of functions | with

values ...

Page 1262

28 Let a self adjoint operator A in a

there exists a

that Ax = PQx , XEH , P denoting the orthogonal projection of ø , on H. 29 Let { Tn

} ...

28 Let a self adjoint operator A in a

**Hilbert space**Þ with O SASI be given . Thenthere exists a

**Hilbert space**H , 2H , and an orthogonal projection Q in ý , suchthat Ax = PQx , XEH , P denoting the orthogonal projection of ø , on H. 29 Let { Tn

} ...

Page 1773

Nelson Dunford, Jacob T. Schwartz. APPENDIX m - 0

vector space y over the field of complex numbers , together with a complex

function ( : , . ) defined on H xH with the following properties : ( i ) ( x , x ) = 0 if and

only if ...

Nelson Dunford, Jacob T. Schwartz. APPENDIX m - 0

**Hilbert space**is a linearvector space y over the field of complex numbers , together with a complex

function ( : , . ) defined on H xH with the following properties : ( i ) ( x , x ) = 0 if and

only if ...

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