## Linear Operators: Spectral theory |

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Page 890

The operator f ( T ) is , by definition , the

space which corresponds to the continuous scalar function | under this * -

isomorphism . This abstract * -isomorphism ff ( T ) between C ( o ( T ) ) and B * ( T

) is ...

The operator f ( T ) is , by definition , the

**uniquely**determined operator in Hilbertspace which corresponds to the continuous scalar function | under this * -

isomorphism . This abstract * -isomorphism ff ( T ) between C ( o ( T ) ) and B * ( T

) is ...

Page 1307

Since the boundary values A , are real and the constants Cij are

follows readily that the Cij are real . Thus Cij -Cji , so that cii 0 . In the case ( iv )

discussed above there are no boundary values for 1 , so that it is evident from [ * ]

that ( if ...

Since the boundary values A , are real and the constants Cij are

**unique**, itfollows readily that the Cij are real . Thus Cij -Cji , so that cii 0 . In the case ( iv )

discussed above there are no boundary values for 1 , so that it is evident from [ * ]

that ( if ...

Page 1315

... singular form in the vectors 1 ( c ) , ... , fin - 1 ) ( c ) ] and [ g ( c ) , ... , g ( n - 1 ) ( c

) ] . Thus the equation f ( c ) = F ( t , n ) , if assumed to be valid for all f in D ( T. ( T )

) , determines n and its first n - 1 derivatives

... singular form in the vectors 1 ( c ) , ... , fin - 1 ) ( c ) ] and [ g ( c ) , ... , g ( n - 1 ) ( c

) ] . Thus the equation f ( c ) = F ( t , n ) , if assumed to be valid for all f in D ( T. ( T )

) , determines n and its first n - 1 derivatives

**uniquely**. It is equivalent to the set ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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