## 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 complex Consequently contains converges convex Corollary defined DEFINITION denote dense determined differential dimensional disjoint domain element equation equivalent everywhere Exercise exists extension field finite follows function defined function f given Hence Hilbert space identity implies inequality integral interval isomorphism Lebesgue Lemma limit linear functional linear operator linear space Math measure space metric space neighborhood norm open set positive measure problem projection Proof properties proved range reflexive representation respect Russian satisfies scalar seen separable sequence set function Show shown sphere statement subset Suppose Theorem theory topological space topology u-measurable uniform uniformly unique unit valued vector weak weakly compact zero