## Linear Operators, Part 2 |

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Page 865

An

An

**element**æ in a B - subalgebra of the form X , = e . Xe , where e , is an idempotent with 0 # 20 #e clearly has 0 ( x ) Co ( x ) .Page 877

Then an

Then an

**element**y in Y has an inverse in X if and only if it has an inverse in y . Consequently the spectrum of y as an**element**of Y is the same as its ...Page 1339

An

An

**element**F of L > ( { ui ; } ) will be said to be a { wij } -null function if [ F ] = 0. The set of all equivalence classes of**elements**of Ly ( { Wix } ...### 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 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 Russian satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero