## Linear Operators: Spectral theory |

### From inside the book

Results 1-3 of 82

Page 888

Nelson Dunford, Jacob T. Schwartz. where o , 8 are arbitrary

where ® is the void set . Here we have used the notations A , B and A v B for the

intersection and union of two commuting projections A and B. We recall that

these ...

Nelson Dunford, Jacob T. Schwartz. where o , 8 are arbitrary

**spectral**sets andwhere ® is the void set . Here we have used the notations A , B and A v B for the

intersection and union of two commuting projections A and B. We recall that

these ...

Page 933

79 ) , where the relation of the

other questions are investigated . Halmos [ 9 ] also considers the relation of the

...

79 ) , where the relation of the

**spectra**of A and its minimal normal extension andother questions are investigated . Halmos [ 9 ] also considers the relation of the

**spectra**. The**spectral**sets of von Neumann . If T is a bounded linear operator in a...

Page 1920

( See also Ordered representation )

function , XI.4.10 ( 988 ) definition , VII.3.17 ( 572 ) properties , VII.3.19-21 ( 574–

575 ) of von Neumann , X.9 ( 933 )

( See also Ordered representation )

**Spectral**set , of a bounded measurablefunction , XI.4.10 ( 988 ) definition , VII.3.17 ( 572 ) properties , VII.3.19-21 ( 574–

575 ) of von Neumann , X.9 ( 933 )

**Spectral**synthesis , problem of , XI.4 ( 987 )**Spectral**...### What people are saying - Write a review

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### Contents

SPECTRAL THEORY Self Adjoint Operators in Hilbert Space | 858 |

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Copyright | |

57 other sections not shown

### Common terms and phrases

additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity Nauk neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero