## Linear Operators, Part 2 |

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Page 990

... function q on R is in the Ly - closed linear subspace of Lo ( R ) which is determined by the characters in any neighborhood of its

... function q on R is in the Ly - closed linear subspace of Lo ( R ) which is determined by the characters in any neighborhood of its

**spectral**set .Page 1198

Finally , to prove ( e ) we observe from Corollary X.2.7 that the

Finally , to prove ( e ) we observe from Corollary X.2.7 that the

**spectral**measure En defined by the equation En ( e ) = E ( ene ) is the resolution of the ...Page 1902

... VI.8.11 ( 507 )

... VI.8.11 ( 507 )

**spectral**theory of , VII.4 , VII.5.35 ( 584 ) , VII.8.2 Compact space , conditional compactness , 1.5.5 ( 17 ) criteria for compactness ...### 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