## Linear Operators, Part 2 |

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Page 1215

Q.E.D. Using the notation of the

Q.E.D. Using the notation of the

**preceding**proof we let F = ( Uf ) , so that , by Lemma 9 , S " . ( Uf ) a ( 2 ) Wal ' , 2 ) ia ( da ) = E ( [ - n , n ] ) F ...Page 1480

Under the hypotheses and with the notation of the

Under the hypotheses and with the notation of the

**preceding**theorem , T is defined by at most one boundary condition , which is a boundary condition at an ...Page 1771

Statement ( i ) follows from the

Statement ( i ) follows from the

**preceding**theorem and Theorem 6.23 . ...**preceding**theorem , since a function satisfying the hypotheses of the present ...### 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