## Linear Operators: Spectral theory |

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Page 878

of B * ( x ) onto C ( 0 ( x ) ) has the property that x

of B * ( x ) onto C ( 0 ( x ) ) has the property that x

**corresponds**to the function x ( x - ' ( u ) ) = 1 , u Eo ( r ) . Clearly the requirement that x and g ( u ) = u be**corresponding**elements determines the * -isomorphism uniquely and ...Page 1729

It should be evident from this last formula that much as in the

It should be evident from this last formula that much as in the

**corresponding**case of the space Co ( C ) , we may regard any point x = ( x , y ) for which 0 < x < 20 as belonging , in a suitable sense , to the interior of C ; that is ...Page 1780

An equivalence class U of vectors u , will be said to

An equivalence class U of vectors u , will be said to

**correspond**to an equivalence class Vof vectors vg if there is a pair of vectors , one from U and one from V , with a non - zero inner product . Suppose that U and V are**corresponding**...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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additive adjoint operator 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 satisfies seen sequence shown singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero