## Linear Operators: Spectral theory |

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Page 1099

Since both sides of ( 1 ) are continuous in T and since every finite matrix may be approximated arbitrarily closely by non -

Since both sides of ( 1 ) are continuous in T and since every finite matrix may be approximated arbitrarily closely by non -

**singular**matrices , it is sufficient to consider the case in which T is non -**singular**.Page 1584

The contemporary research of Hellinger ( 1 ) , E. Schmidt [ 1 , 2 ] and Hilbert [ 1 ] on integral equations naturally led to an interest in a similar approach to differential operators whose coefficients are

The contemporary research of Hellinger ( 1 ) , E. Schmidt [ 1 , 2 ] and Hilbert [ 1 ] on integral equations naturally led to an interest in a similar approach to differential operators whose coefficients are

**singular**at one or both of ...Page 1919

... definition , III.5.11 ( 137 ) properties , III.5.12–14 ( 137–138 ) , III.9.19–22 ( 170 ) , IV.13.75 ( 350 ) , IV.6.1-3 ( 261–265 ) relativization or restrictions of , III.8 o - finite , III.5.7 ( 136 )

... definition , III.5.11 ( 137 ) properties , III.5.12–14 ( 137–138 ) , III.9.19–22 ( 170 ) , IV.13.75 ( 350 ) , IV.6.1-3 ( 261–265 ) relativization or restrictions of , III.8 o - finite , III.5.7 ( 136 )

**singular**, III.4.12 ( 131 ) ...### 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