## Linear Operators: General theory |

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Page 746

Branch points of solutions of equations in

Branch points of solutions of equations in

**Banach space**, II . Trans . Amer . ... A definition of degree for certain mappings in Hilbert space . Amer . ... Reflexive**Banach spaces**not isomorphic to uniformly convex spaces . Bull .Page 791

On the ariom of the nonconvergent sequences in some linear topological space . ... A theorem of the Hahn - Banach type for linear transformations . Trans . ... Notes on

On the ariom of the nonconvergent sequences in some linear topological space . ... A theorem of the Hahn - Banach type for linear transformations . Trans . ... Notes on

**Banach space**, X. L'itali - Hahn - Saks ' theorem and K - spaces .Page 804

Perturbations of linear operators in

Perturbations of linear operators in

**Banach spaces**. Arch . Math . 6 , 89–101 ( 1955 ) . ... Critical points and gradient fields of scalars in Hilbert space . Acta Math . 85 , 73–98 ( 1951 ) . 4. Gradient mappings . Bull . Amer . Math .### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

The VitaliHahnSaks Theorem and Spaces of Measures | 7 |

B Topological Preliminaries | 10 |

Copyright | |

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### Common terms and phrases

Akad algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed closure complex condition Consequently contains continuous functions converges Corollary defined DEFINITION denote dense determined differential disjoint element equation equivalent everywhere Exercise exists extension field finite follows formula function f given Hence Hilbert space implies integral interval isomorphism Lebesgue Lemma limit linear functional linear operator linear space linear topological space Math means measure space metric space neighborhood norm open set operator problem Proc projection Proof properties proved range reflexive respect Russian satisfies scalar seen semi-group separable sequence set function Show shown statement subset subspace sufficient Suppose Theorem theory topology u-measurable uniform uniformly unique unit sphere valued vector weak weakly compact zero