## Linear Operators: Spectral operators |

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Page 1947

Let B , ... , Bx be a finite collection of commuting bounded Boolean algebras of

projections in a Hilbert space H. Then there exists a bounded self

a self ...

Let B , ... , Bx be a finite collection of commuting bounded Boolean algebras of

projections in a Hilbert space H. Then there exists a bounded self

**adjoint****operator**B in H with a bounded everywhere defined inverse such that BEB - 1 isa self ...

Page 2460

Since ( 17 ) ( + il – A ) { ( + il – H ) -11 ac ( H ) } = 1 , it follows from Corollary XII.

4.13 ( b ) that Ĥ is self adjoint . We may show similarly that H | Esing ( H ) , D ( H )

) is a densely defined self

H ) ...

Since ( 17 ) ( + il – A ) { ( + il – H ) -11 ac ( H ) } = 1 , it follows from Corollary XII.

4.13 ( b ) that Ĥ is self adjoint . We may show similarly that H | Esing ( H ) , D ( H )

) is a densely defined self

**adjoint operator**in Esing ( H ) , and that H | ( { ( H ) D (H ) ...

Page 2481

Show that T. ( ) is a self

its domain , then of Ox , and of Ox , Ox , are square integrable for all 13i , jsn . ( b )

Suppose that the coefficient functions aj , aj , and a are defined in E " , bounded ...

Show that T. ( ) is a self

**adjoint operator**, and that if fe D ( T ( D ) ) is a function inits domain , then of Ox , and of Ox , Ox , are square integrable for all 13i , jsn . ( b )

Suppose that the coefficient functions aj , aj , and a are defined in E " , bounded ...

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### Contents

SPECTRAL OPERATORS 1937 1941 1945 XV Spectral Operators | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

32 other sections not shown

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