## Linear Operators, Part 2 |

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Page 888

where o , 8 are arbitrary

used the notations A - B and Av B for the intersection and union of two commuting

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

where o , 8 are arbitrary

**spectral**sets and where p is the void set . Here we haveused the notations A - B and Av 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

( 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

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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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 singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero