## Linear Operators: General theory |

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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 768

Lebesgue integral in the abstract space . Jap . J. Math . 13 , 501-513 ( 1936 ) . 4. Notes on

Lebesgue integral in the abstract space . Jap . J. Math . 13 , 501-513 ( 1936 ) . 4. Notes on

**Banach space**, I. Differentiation of abstract functions . Proc . Imp . Acad . Tokyo 18 , 127-130 ( 1942 ) . Izumi , S. , and Sunouchi , G. 1.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

B Topological Preliminaries | 10 |

quences | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

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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