## Linear Operators, Part 1 |

### From inside the book

Results 1-3 of 79

Page 462

The case of Theorem 3.9 in which X Y * and I Y , was proved in the separable

case by

Michael [ 1 ] gave an extension of Lemma 3.10 to a case where linear operators

are ...

The case of Theorem 3.9 in which X Y * and I Y , was proved in the separable

case by

**Banach**[ 1 ; p . 131 ) and in full generality by Alaoglu [ 1 ; p . 256 ] .Michael [ 1 ] gave an extension of Lemma 3.10 to a case where linear operators

are ...

Page 804

Perturbations of linear operators in

1955 ) . Rosenthal , A. ( see Hahn , H. , and Hartogs , F. ) Rosser , J. B. 1. Logic

for mathematicians . McGraw - Hill Co. , New York , 1953 . Rota , G. C. 1 .

Extension ...

Perturbations of linear operators in

**Banach**spaces . Arch . Math . 6 , 89–101 (1955 ) . Rosenthal , A. ( see Hahn , H. , and Hartogs , F. ) Rosser , J. B. 1. Logic

for mathematicians . McGraw - Hill Co. , New York , 1953 . Rota , G. C. 1 .

Extension ...

Page 810

Weak compactness in

Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskii , M. G. 1. On estimates for

the eigenvalues of a self - adjoint operator . Akad . Nauk SSSR . Prikl . Mat . Meh .

Weak compactness in

**Banach**spaces . Studia Math . 11 , 71-94 ( 1950 ) .Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskii , M. G. 1. On estimates for

the eigenvalues of a self - adjoint operator . Akad . Nauk SSSR . Prikl . Mat . Meh .

### What people are saying - Write a review

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

### Contents

Preliminary Concepts | 1 |

The VitaliHahnSaks Theorem and Spaces of Measures | 7 |

B Topological Preliminaries | 10 |

Copyright | |

87 other sections not shown

### Other editions - View all

### 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