## Linear Operators: Spectral theory |

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Page 888

Thus , in a

Thus , in a

**Boolean algebra**of projections , the order relation A = B , which is defined by the equation AB = A , may be interpreted geometrically as meaning AX C BX . Stated otherwise the equations ( ii ) assert that the function o ...Page 1900

... ( 949 )

... ( 949 )

**Boolean algebra**. ( See also Boolean ring ) definition , ( 43 ) properties , ( 44 ) representation of , ( 44 ) Boolean ring , definition , ( 40 ) representation of , I.12.1 ( 41 ) Borel field of sets , definition , III.5.10 ...Page 1917

... IV.6.12 ( 269 ) , IV.6.30– 31 ( 281 ) Quotient , of B - algebras , IX.1 ( 866 ) group , ( 35 ) . ... definition , 1.4.12 ( 12 ) Representation , for

... IV.6.12 ( 269 ) , IV.6.30– 31 ( 281 ) Quotient , of B - algebras , IX.1 ( 866 ) group , ( 35 ) . ... definition , 1.4.12 ( 12 ) Representation , for

**Boolean algebras**, ( 44 ) for Boolean rings with unit , 1.12.1 ( 41 ) for conjugate ...### 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 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 Russian satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero