Linear Operators: General theory |
From inside the book
Results 1-3 of 88
Page 838
... properties of , Chap . II definition , II.3.2 ( 59 ) integration , Chap . III special B - spaces , Chap . IV properties , IV.15 Baire category theorem , 1.6.9 ( 20 ) Banach limits , existence and pro- perties , II.4.22-23 ( 73 ) Banach ...
... properties of , Chap . II definition , II.3.2 ( 59 ) integration , Chap . III special B - spaces , Chap . IV properties , IV.15 Baire category theorem , 1.6.9 ( 20 ) Banach limits , existence and pro- perties , II.4.22-23 ( 73 ) Banach ...
Page 840
... properties of the closure operation , 1.4.10-11 ( 11–12 ) Cluster point , of a set , I.7.8 ( 29 ) Compact operator , in C , VI.9.45 ( 516 ) criteria for and properties of , VI.9.30-35 ( 515 ) definition , VI.5.1 ( 485 ) elementary ...
... properties of the closure operation , 1.4.10-11 ( 11–12 ) Cluster point , of a set , I.7.8 ( 29 ) Compact operator , in C , VI.9.45 ( 516 ) criteria for and properties of , VI.9.30-35 ( 515 ) definition , VI.5.1 ( 485 ) elementary ...
Page 844
... properties , V.11.1-6 ( 457-458 ) remarks on , ( 466 ) , ( 473 ) study of , V.8 Extremally disconnected , ( 398 ) F F - space , basic properties , II.1-2 definition , II.1.10 ( 51 ) examples of , IV.2.27-28 ( 243 ) Factor group ...
... properties , V.11.1-6 ( 457-458 ) remarks on , ( 466 ) , ( 473 ) study of , V.8 Extremally disconnected , ( 398 ) F F - space , basic properties , II.1-2 definition , II.1.10 ( 51 ) examples of , IV.2.27-28 ( 243 ) Factor group ...
Contents
Exercises | 9 |
Definitions and Basic Properties | 13 |
Metric Spaces | 19 |
Copyright | |
59 other sections not shown
Other editions - View all
Common terms and phrases
A₁ Acad additive set function algebra Amer analytic arbitrary B-space B₁ ba(S Banach spaces Borel sets Cauchy sequence closed sets compact Hausdorff space compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive DEFINITION denote dense disjoint Doklady Akad E₁ elements ergodic exists f₁ finite number follows function defined function f Hausdorff space Hence Hilbert space homomorphism integral L₁ L₁(S Lebesgue Lemma Let f linear functional linear map linear operator linear topological space measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative normed linear space open set operator topology positive measure space Proc PROOF properties proved real numbers reflexive Riesz Russian S₁ scalar semi-group sequentially compact Show subset subspace Suppose Theorem theory topological space u-integrable u-measurable u-null uniformly unit sphere vector space weakly compact zero ΕΕΣ