## Linear operators. 2. Spectral theory : self adjoint operators in Hilbert Space |

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

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

**regular**maximal ideals of L ( 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 ...Page 1505

A

A

**regular**point of a differential equation may be regarded as a special case of a**regular**singular point at which the exponents are zero and one . If Lf = 0 is a differential equation with rational coefficients and a**regular**singularity ...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 ...### 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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### Other editions - View all

Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert ... Nelson Dunford,Jacob T. Schwartz No preview available - 1988 |

Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert ... Nelson Dunford,Jacob T. Schwartz No preview available - 1988 |

### Common terms and phrases

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