## Linear Operators: General theory |

### From inside the book

Results 1-3 of 78

Page 247

closely related , especially in its elementary geometrical aspects , to the

Euclidean or finite dimensional unitary spaces . It is not immediate from the

definition ( 2.26 ) ...

**Hilbert**Space Of the infinite dimensional B - spaces ,**Hilbert**space is the mostclosely related , especially in its elementary geometrical aspects , to the

Euclidean or finite dimensional unitary spaces . It is not immediate from the

definition ( 2.26 ) ...

Page 256

If , however , each of the spaces X1 , . . . , Xn are

be understood , sometimes without explicit mention , that X is the uniquely

determined

= ( ...

If , however , each of the spaces X1 , . . . , Xn are

**Hilbert**spaces then it will alwaysbe understood , sometimes without explicit mention , that X is the uniquely

determined

**Hilbert**space with scalar product ( iv ) ( [ Xp , . - . , X ' n ] , [ ypy • Yn ] )= ( ...

Page 814

Ergebnisse der Math . , V 5 , J . Springer , Berlin , 1942 . Reprinted Edwards Bros

. , Ann Arbor , Mich . , 1947 . 4 . Perturbations des transformations autoadjointes

dans l ' espace de

...

Ergebnisse der Math . , V 5 , J . Springer , Berlin , 1942 . Reprinted Edwards Bros

. , Ann Arbor , Mich . , 1947 . 4 . Perturbations des transformations autoadjointes

dans l ' espace de

**Hilbert**. Comment . Math . Helv . 19 , 347 – 366 ( 1946 - 1947 )...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

80 other sections not shown

### Common terms and phrases

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 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