## Linear operators. 2. Spectral theory : self adjoint operators in Hilbert Space |

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Page 861

Clearly if x - 1

Clearly if x - 1

**exists**then Tr - Tc = T / T2-1 = 1 . If Til**exists**in B ( X ) , then Tx [ ( T2 + y ) 2 ] = yz , ( To'y ) 2 = 7 ; ' ( yz ) , and if a = Tote ...Page 1057

Thus , to show that the proper value integral ( 3 )

Thus , to show that the proper value integral ( 3 )

**exists**generally , it is sufficient for us to consider the cases u = 0 and u = ( 1 , 0 , ... , 0 ) .Page 1261

23 If an operator T has a closed linear extension there

23 If an operator T has a closed linear extension there

**exists**a unique closed linear extension T such that if T , is any closed linear extension of T then ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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### Other editions - View all

Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert ... Nelson Dunford,Jacob T. Schwartz No preview available - 1988 |

Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert ... Nelson Dunford,Jacob T. Schwartz No preview available - 1988 |

### Common terms and phrases

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