## Linear Operators: Spectral theory |

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Page 990

A bounded measurable function o on R is in the L -closed linear subspace of LO ( R ) which is

A bounded measurable function o on R is in the L -closed linear subspace of LO ( R ) which is

**determined**by the characters in any neighborhood of its spectral set . Conversely , if y is in the Ly - closed linear manifold**determined**by ...Page 1321

The matrices I = ( y ) and I ' = ( y ) in the Vij ( ) preceding theorem are uniquely

The matrices I = ( y ) and I ' = ( y ) in the Vij ( ) preceding theorem are uniquely

**determined**by the jump equations and by the boundary conditions defining T. - . * 9 PROOF . We have seen in the derivation of Theorem 8 that the ...Page 1323

To

To

**determine**the u * + v * = ( p * + q * ) - ( 4 * + v * ) + + u * ( n + k * ) - ( u * + v * ) numbers ... Bie Wg . Thus ( Vis ) and ( Vís ) are uniquely**determined**by the jump conditions and by the boundary conditions E * ( K ) = 0 ...### 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 given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity Nauk 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