## Linear Operators: Spectral theory |

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qu Sc ! PM TUR dei the 19 E be Vais wber Space is isomorphic with the complex field , and it turns out that the

qu Sc ! PM TUR dei the 19 E be Vais wber Space 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 ...Page 1504

A point z , in the complex plane at which r , and r , are analytic is called a

A point z , in the complex plane at which r , and r , are analytic is called a

**regular**point of the operator . In the neighborhood of a**regular**point zo , there exists a unique analytic solution 7 ( z ) of the equation Lt = 0 with ...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 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

44 other sections not shown

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### 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 singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero