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

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Page 1223

How are we to choose its

How are we to choose its

**domain**? A natural first guess is to choose as**domain**the collection D , of all functions with one continuous derivative .Page 1248

The subspace M is called the initial

The subspace M is called the initial

**domain**of P and PM ( = P $ ) is called ... P and PP * are the initial and final**domains**, respectively , of P. Proof .Page 1249

Thus PP * is a projection whose range is N = PM , the final

Thus PP * is a projection whose range is N = PM , the final

**domain**of P. To complete the proof it will suffice to show that P * P is a projection if P is a ...### 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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