## Linear Operators: Spectral theory |

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Page 931

The preceding paragraph indicates that it is of interest to inquire when a given operator A in a

The preceding paragraph indicates that it is of interest to inquire when a given operator A in a

**Hilbert space**can be extended ( in some sense ) to an ...Page 1180

( 66 ) sup \ y * ( x ) ) = 1x1 , X E B ; veY and that in consequence Corollary 22 is valid for functions f ( x , s ) with values in

( 66 ) sup \ y * ( x ) ) = 1x1 , X E B ; veY and that in consequence Corollary 22 is valid for functions f ( x , s ) with values in

**Hilbert space**.Page 1262

28 Let a self adjoint operator A in a

28 Let a self adjoint operator A in a

**Hilbert space**v with O SASI be given . Then there exists a**Hilbert space**H , 2 H , and an orthogonal projection Q in H ...### What people are saying - Write a review

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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 complete Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense derivatives 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 Nauk neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero