## Linear Operators: Spectral theory |

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Page 1162

... i.e. , with all the maximal ideals of the algebra

... i.e. , with all the maximal ideals of the algebra

**obtained**by adjoining an identity to L ( R ) except the point at infinity of M. Now in an algebra with identity every ideal is contained in a maximal ideal , but if an identity is ...Page 1318

i Suppose that the homogeneous system

i Suppose that the homogeneous system

**obtained**from equations [ 1 ' ] and [ 2 ' ) has a non - trivial solution a ( c ) , B : ( c ) , and let K . ( - ) be the function ( of the variable s )**obtained**by substituting and po for Xi and B ...Page 1623

2 το dt on the interval [ 0 , 0 ) ( cf. the end of Section 5 )

2 το dt on the interval [ 0 , 0 ) ( cf. the end of Section 5 )

**obtained**by imposing the boundary condition B ( 1 ) = f ' ( 0 ) = 0 , namely 1 o da u ( [ a , b ] ) va a Let p be a positive Borel measure on the positive real axis ...### 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