## Linear Operators: Spectral theory |

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Page 888

where o , d are arbitrary

where o , d are arbitrary

**spectral**sets and where $ is the void set . Here we have used the notations A i B and A v B for the intersection and union of two ...Page 933

The

The

**spectral**sets of von Neumann . If T is a bounded linear operator in a Hilbert space , then von Neumann [ 3 ] defines a closed set S of the complex ...Page 1920

of von Neumann , X.9 ( 933 )

of von Neumann , X.9 ( 933 )

**Spectral**synthesis , problem of , XI.4 ( 987 )**Spectral**theorem , for a B * -algebra , X.2.1 ( 895 ) for a formally self ...### 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