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

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Page 1036

Then the infinite product hi PA ( T ) 1 edia

Then the infinite product hi PA ( T ) 1 edia

**converges**and defines a function analytic for a +0 . For each fixed 1 # 0 , P. ( T ) is a continuous complex valued function on the B - space of all Hilbert - Schmidt operators . PROOF .Page 1420

Then , by assumption ( b ) , { { n }

Then , by assumption ( b ) , { { n }

**converges**to zero in the topology of D ( T2 ( t + r ' ) ) . Conversely , let { In }**converge**to zero in the topology of D ( T2 ( t + r ' ) ) , that is , let [ * ] 11.1 + 1T2 ( t + 1 ' ) / ml → 0 .Page 1664

The Fourier series of an element F in D , ( C )

The Fourier series of an element F in D , ( C )

**converges**unconditionally to F. Proof . It follows from the Definition 37 of the topology in D ( C ) that it suffices to show that ( 2π ) -η Σ F ,**converges**unconditionally to F ( q ) for ...### 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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