## Linear Operators, Part 2 |

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Page 888

where o , 8 are arbitrary

where o , 8 are arbitrary

**spectral**sets and where p is the void set . Here we have used the notations A - B and Av B for the intersection and union of two ...Page 933

The

The

**spectral**sets of von Neumann . If T is a bounded linear operator in a Hilbert space , then von Neumann [ 3 ] defines a closed set S of the complex ...Page 1920

( See also Ordered representation )

( See also Ordered representation )

**Spectral**set , of a bounded measurable function , XI.4.10 ( 988 ) definition , VII.3.17 ( 572 ) properties , VII.3.19-21 ...### 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