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
B Topological Preliminaries | 10 |
Metric Spaces | 23 |
Product Spaces | 31 |
Copyright | |
49 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 compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive DEFINITION denote dense differential equations Doklady Akad Duke Math E₁ elements ergodic exists extension f₁ function defined function f Hausdorff space Hence Hilbert space homomorphism inequality 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 o-field 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 theory topological space u-integrable u-measurable u-null uniformly unit sphere valued function vector space weakly compact zero ΕΕΣ