## Linear Operators: General theory |

### From inside the book

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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

**Banach spaces**.Page 815

On linear equations in Hilbert space . Mat . Sbornik N . S . 29 ( 71 ) , 529 ... On the

compactness of the space L . Bull . Amer . Math . Soc . 38 , 79 ... On certain

, 31 ...

On linear equations in Hilbert space . Mat . Sbornik N . S . 29 ( 71 ) , 529 ... On the

compactness of the space L . Bull . Amer . Math . Soc . 38 , 79 ... On certain

**Banach spaces**whose elements are analytic functions . Actas Acad . Ci . Lima 12, 31 ...

Page 838

Arzela theorem, on continuity of limit ... 11.2-3 (332-334)

on equivalence of C-

**space**of, definition, IV.2.24 (242) properties, IV.15 Annihilator of a set, II.4.17 (72)Arzela theorem, on continuity of limit ... 11.2-3 (332-334)

**Banach**-Stone theorem,on equivalence of C-

**spaces**, V.8.8 (442) remarks on, (396-397, 466) Base for a ...### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

31 other sections not shown

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### Common terms and phrases

algebra Amer analytic applied arbitrary assumed B-space Banach spaces bounded called clear closed compact operator complex condition Consequently constant contains continuous functions converges convex convex set Corollary countably additive defined DEFINITION denote dense determined differential dimensional disjoint domain element equation equivalent everywhere Exercise exists extension field finite follows formula function defined function f given Hence Hilbert space identity implies inequality integral interval Lebesgue Lemma limit linear functional linear operator linear space Math neighborhood norm operator operator topology problem projection PROOF properties proved range reflexive representation respect 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