## Linear Operators: General theory |

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Page 746

Branch points of solutions of equations in

definition of degree for certain mappings in Hilbert space . Amer . J . Math . ...

Reflexive

.

Branch points of solutions of equations in

**Banach space**. Trans . Amer . ... Adefinition of degree for certain mappings in Hilbert space . Amer . J . Math . ...

Reflexive

**Banach spaces**not isomorphic to uniformly convex spaces . Bull . Amer.

Page 768

The Hahn - Banach theorem for non - Archimedean valued fields . Proc .

Cambridge ... Notes on

Proc . ... Orthogonality and linear functionals in normed linear spaces . Trans .

Amer .

The Hahn - Banach theorem for non - Archimedean valued fields . Proc .

Cambridge ... Notes on

**Banach space**, I . Differentiation of abstract functions .Proc . ... Orthogonality and linear functionals in normed linear spaces . Trans .

Amer .

Page 804

On a class of Markoff processes . Trans . Amer . Math . Soc . 71 , 120 - 135 ( 1951

) . Rosenbloom , P . C . 1 . Elements of mathematical logic . Dover Publications ,

New York , 1950 . 2 . Perturbations of linear operators in

On a class of Markoff processes . Trans . Amer . Math . Soc . 71 , 120 - 135 ( 1951

) . Rosenbloom , P . C . 1 . Elements of mathematical logic . Dover Publications ,

New York , 1950 . 2 . Perturbations of linear operators in

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### Contents

Special Spaces | 237 |

Convex Sets and Weak Topologies | 409 |

General Spectral Theory | 555 |

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 Consequently contains continuous functions converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint Doklady Akad domain elements 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 mean measure space metric space neighborhood norm operator positive problem Proc PROOF properties proved range regular respect Russian satisfies scalar seen semi-group separable sequence set function Show shown sphere statement subset Suppose Theorem theory topological space topology transformations u-integrable u-measurable uniformly union unique unit valued vector weak zero