## Linear Operators: Spectral theory |

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Page 1650

**subsets**of I and let F be in D ( I ) . ... Let K be a compact**subset**of Udla outside of which y vanishes . ... Let F be a distribution in the open**subset**I of En . Then the closed set Cp in I which is the complement in I of the largest ...Page 1662

Let I be an open

Let I be an open

**subset**of C , and let F be in D , ( I ) . Then the closed set Cp in 1 , which is the complement of the largest open set in I in which F vanishes , i.e. , which is the complement in I of the union of all the open**subsets**...Page 1669

Let I , be a domain in E " ?, and let 1 , be a domain in En . Let M : 1 +1 , be a mapping of I into I , such that ( a ) M - C is a compact

Let I , be a domain in E " ?, and let 1 , be a domain in En . Let M : 1 +1 , be a mapping of I into I , such that ( a ) M - C is a compact

**subset**of I , whenever C is a compact**subset**of I2 ; ( b ) ( M ( :) ) , Co ( 11 ) , j = 1 ,.### 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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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