## Linear Operators: Spectral theory |

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Page 893

Let E be a

Let E be a

**bounded**self adjoint spectral measure in Hilbert space defined on a field & of subsets of a set S. Then the map ť → T ( 1 ) defined by the equation T ( t ) = [ st ( s ) E ( ds ) , fe B ( S , E ) , is a continuous ...Page 900

and thus there is a

and thus there is a

**bounded**function f , on S with f ( s ) = to ( s ) except for s in a set having E measure zero . If | is E - measurable then to is a**bounded**E - measurable function , i.e. , an element of the B * -algebra B ( S , E ) ...Page 1240

Semi -

Semi -

**bounded**Symmetric Operators In this section we study the self adjoint extensions of those operators in a class of symmetric operators which arise frequently from the boundary value problems of mathematical physics .### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

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