## Linear Operators: Spectral theory |

### From inside the book

Results 1-3 of 85

Page 888

where o , d are arbitrary

used the notations A i B and A v B for the intersection and union of two

commuting projections A and B . We recall that these operators are defined by

the ...

where o , d are arbitrary

**spectral**sets and where ® is the void set . Here we haveused the notations A i B and A v B for the intersection and union of two

commuting projections A and B . We recall that these operators are defined by

the ...

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

4 ( 50 )

countably additive , X . I ( 889 ) self adjoint , X . I ( 892 )

, definition , X . 5 ( 913 )

4 ( 50 )

**Spectral**asymptotics , XIII . 10 . G ( 1614 )**Spectral**measure , X . 1 ( 888 )countably additive , X . I ( 889 ) self adjoint , X . I ( 892 )

**Spectral**multiplicity theory, definition , X . 5 ( 913 )

**Spectral**radius , definition , VII . 3 . 5 ( 567 ) of an ...### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

IX | 859 |

Eigenvalues and Eigenvectors | 903 |

Spectral Representation | 911 |

Copyright | |

15 other sections not shown

### Other editions - View all

### 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 neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result Russian satisfies seen sequence shown singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero