## Linear Operators: Spectral theory |

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Page 1215

... vv ( ds ) = ( Utne → ( Uf ) a : Thus Sst ( s ) W , ( 3 , 2 ) v ( ds ) exists in the mean

square sense and equals ( Uf ) a ( 2 ) , proving ( c ) . Q.E.D. Using the notation of

the

...

... vv ( ds ) = ( Utne → ( Uf ) a : Thus Sst ( s ) W , ( 3 , 2 ) v ( ds ) exists in the mean

square sense and equals ( Uf ) a ( 2 ) , proving ( c ) . Q.E.D. Using the notation of

the

**preceding**proof we let F = ( Uf ) , so that , by Lemma 9 , S " . ( Uf ) a ( 2 ) Wal '...

Page 1480

Under the hypotheses and with the notation of the

defined by at most one boundary condition , which is a boundary condition at an

end point a of the interval I. Let a < ho , and let ost , 2 ) be a solution of the

equation to ...

Under the hypotheses and with the notation of the

**preceding**theorem , T isdefined by at most one boundary condition , which is a boundary condition at an

end point a of the interval I. Let a < ho , and let ost , 2 ) be a solution of the

equation to ...

Page 1771

Statement ( i ) follows from the

( ii ) follows from statement ( ii ) of the

satisfying the hypotheses of the present statement ( ii ) evidently ( cf. Theorem

6.23 ) ...

Statement ( i ) follows from the

**preceding**theorem and Theorem 6.23 . Statement( ii ) follows from statement ( ii ) of the

**preceding**theorem , since a functionsatisfying the hypotheses of the present statement ( ii ) evidently ( cf. Theorem

6.23 ) ...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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