Linear Operators: General theory |
From inside the book
Results 1-3 of 11
Page 376
... meaning- meaning- meaning- in X = Y * 13.13 13.14 less less less Miscellaneous 6.18 6.18 6.16 , 6.17 , Properties 13.13 13.14 6.19 6.19 6.26 ( F4 ) ( F4 ) ( F4 ) ( F4 ) V.8.8 ( F4 ) 13.76 13.50 13.51 13.63 13.64 13.65 13.66 ( F4 ) In a ...
... meaning- meaning- meaning- in X = Y * 13.13 13.14 less less less Miscellaneous 6.18 6.18 6.16 , 6.17 , Properties 13.13 13.14 6.19 6.19 6.26 ( F4 ) ( F4 ) ( F4 ) ( F4 ) V.8.8 ( F4 ) 13.76 13.50 13.51 13.63 13.64 13.65 13.66 ( F4 ) In a ...
Page 377
... meaning- less 9.15 13.24 meaning- less Miscellaneous 9.11 ( b ) III.7.5 ( F5 ) 13.51 , 8.22 13.49 , 8.10 Properties III.7.5 III.7.6 . 13.53 , 8.26 13.51 , 8.13 III.7.6 9.8 13.62 , 11.7 13.53 , 8.14 13.50 ( F5 ) 13.71 ( F6 ) 13.54 , 8.22 ...
... meaning- less 9.15 13.24 meaning- less Miscellaneous 9.11 ( b ) III.7.5 ( F5 ) 13.51 , 8.22 13.49 , 8.10 Properties III.7.5 III.7.6 . 13.53 , 8.26 13.51 , 8.13 III.7.6 9.8 13.62 , 11.7 13.53 , 8.14 13.50 ( F5 ) 13.71 ( F6 ) 13.54 , 8.22 ...
Page 379
... meaning- meaning- less less ( F7 ) Weak no no yes meaning- meaning- Completeness 13.37 13.38 4.7 less less Reflexivity no no yes meaning- meaning- 13.37 13.38 4.6 less less Strongly 13.37 13.39 13.45 11.1 13.47 Compact Sets Weakly 13.37 ...
... meaning- meaning- less less ( F7 ) Weak no no yes meaning- meaning- Completeness 13.37 13.38 4.7 less less Reflexivity no no yes meaning- meaning- 13.37 13.38 4.6 less less Strongly 13.37 13.39 13.45 11.1 13.47 Compact Sets Weakly 13.37 ...
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