## Linear Operators: General theory |

### From inside the book

Results 1-3 of 83

Page 88

Nelson Dunford, Jacob T. Schwartz. \ x1 = p ( x ) + p ( -x ) , then this condition is

Ingleton [ 1 ] has given conditions for the Hahn - Banach theorem to hold when ...

Nelson Dunford, Jacob T. Schwartz. \ x1 = p ( x ) + p ( -x ) , then this condition is

**sufficient**. Bonsall [ 1 ] showed that the separability condition cannot be dropped .Ingleton [ 1 ] has given conditions for the Hahn - Banach theorem to hold when ...

Page 385

ing conditions that are

entire space . Wermer [ 6 , 9 ) has given

generate C ( S ) when S is the unit circle . If f is one - to - one , or the function f ( 2

) ...

ing conditions that are

**sufficient**to insure that a class of functions generates theentire space . Wermer [ 6 , 9 ) has given

**sufficient**conditions that two functionsgenerate C ( S ) when S is the unit circle . If f is one - to - one , or the function f ( 2

) ...

Page 472

In the first two papers , necessary and

differentiability of the norms in X and X * are given , together with results relating

differentiability , tangent planes to the unit sphere , reflexivity and various other ...

In the first two papers , necessary and

**sufficient**conditions for a weaker type ofdifferentiability of the norms in X and X * are given , together with results relating

differentiability , tangent planes to the unit sphere , reflexivity and various other ...

### What people are saying - Write a review

User Review - Flag as inappropriate

i want to read

### Contents

B Topological Preliminaries 10 B Topological Preliminaries | 10 |

quences | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

80 other sections not shown

### Other editions - View all

### 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