## Linear Operators: General theory |

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Theorem IV.8.16 for notation ) which take on only the

Theorem IV.8.16 for notation ) which take on only the

**values**0 and 1. ... 7 Show that every**boundary**point of the closed unit sphere S of a B - space X is an extremal point if and only if ( x + y + ( x + y unless x and y are linearly ...Page 737

Integration of functions with values in a Banach space . Trans . Amer . Math . Soc . 38 , 357–378 ( 1935 ) . 5. ...

Integration of functions with values in a Banach space . Trans . Amer . Math . Soc . 38 , 357–378 ( 1935 ) . 5. ...

**Boundary value**and expansion problems of ordinary linear differential. 625-627 ( 1939 ) . Birkhoff , G. , and MacLane ...Page 763

The least cluster point of the spectrum of

The least cluster point of the spectrum of

**boundary value**problems . Amer . J. Math . 70 , 847-855 ( 1948 ) . 2 . The gaps in the essential spectra of wave equations . Amer . J. Math . 72 , 849–862 ( 1950 ) . Hartman , P. , and Wintner ...### What people are saying - Write a review

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### Contents

B Topological Preliminaries | 10 |

quences | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

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### Common terms and phrases

Acad algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed compact complex condition contains continuous functions converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint Doklady Akad 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 meaning measure space metric neighborhood norm operator positive measure problem Proc PROOF properties proved respect Russian satisfies scalar seen semi-group separable sequence set function Show shown sphere statement subset sufficient Suppose Theorem theory topological space topology transformations u-measurable uniform uniformly unique unit valued vector weak weakly compact zero