## Linear Operators: General theory |

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Page 505

To complete the proof of the corollary it must be shown that for an arbitrary x in X the function x * ( • ) æ is - measurable and

To complete the proof of the corollary it must be shown that for an arbitrary x in X the function x * ( • ) æ is - measurable and

**equation**( i ) holds .Page 741

The Dirichlet problem for linear elliptic

The Dirichlet problem for linear elliptic

**equations**of arbitrary even order with ... in the Dirichlet problem for the general linear elliptic**equation**.Page 780

On self - adjoint differential

On self - adjoint differential

**equations**of second order . J. London Math . Soc . 27 , 33–47 ( 1952 ) . Leja , F. 1 . Sur la notion du groupe abstrait ...### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

quences | 26 |

Copyright | |

80 other sections not shown

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### Common terms and phrases

Akad algebra Amer analytic applied arbitrary assume B-space Banach Banach spaces bounded called clear closed compact complex Consequently contains converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint domain element equation equivalent everywhere Exercise exists extension field finite follows function defined function f given Hence Hilbert space implies inequality integral interval isomorphism Lebesgue Lemma limit linear functional linear operator linear space mapping Math mean measure space metric space neighborhood norm o-field open set operator positive problem Proc PROOF properties proved range regular respect Russian satisfies scalar seen separable sequence set function Show shown sphere statement subset Suppose Theorem theory topological space topology transformations u-integrable u-measurable uniformly union unique unit valued vector weak zero