## Linear Operators: Spectral theory |

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is isomorphic with the complex field , and it turns out that the

ideals of Ly ( R ) are in one - to - one correspondence with the points of Mo , i . e .

, with all the maximal ideals of the algebra obtained by adjoining an identity to L (

R ) ...

is isomorphic with the complex field , and it turns out that the

**regular**maximalideals of Ly ( R ) are in one - to - one correspondence with the points of Mo , i . e .

, with all the maximal ideals of the algebra obtained by adjoining an identity to L (

R ) ...

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A

coefficients and a

A

**regular**point of a differential equation may be regarded as a special case of a**regular**singular point at which the ... If Lf = 0 is a differential equation with rationalcoefficients and a

**regular**singularity Z , with exponents e , and ex , then the ...Page 1917

( See Reflexivity )

)

( See Reflexivity )

**Regular**closure , ( 462 463 )**Regular**convexity , ( 462 – 463 )**Regular**element in a B - algebra , IX . 1 . 2 ( 861 )**Regular**element in a ring , ( 40)

**Regular**method of summability , II . 4 . 35 ( 75 )**Regular**point of a differential ...### What people are saying - Write a review

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### Contents

IX | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Compact Groups | 945 |

Copyright | |

46 other sections not shown

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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 consider 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 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