## Linear Operators, Part 2 |

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Page 1297

Q.E.D. We now turn to a discussion of the specific form assumed in the present case by the abstract “

Q.E.D. We now turn to a discussion of the specific form assumed in the present case by the abstract “

**boundary values**” introduced in the last chapter .Page 1305

A

A

**boundary value**A for a real operator r is said to be real if Af ) = A ( f ) for every f in D ( T2 ( T ) ) . We conclude this section by considering some ...Page 1307

**boundary values**C1 , C2 , D2 , D , where C7 , C , are**boundary values**at a and D2 ... Let A be any**boundary value**for T. Since 1 is real , D ( T1 ( ) ) is ...### 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