Linear Operators: General theory |
From inside the book
Results 1-3 of 83
Page 473
... uniform convexity in the neighborhood of a point implies uniform convexity , and ( Day [ 4 , 6 ] ) demonstrated that under certain conditions combinations also yield uniformly convex spaces . A dual notion of " uniform flattening " is ...
... uniform convexity in the neighborhood of a point implies uniform convexity , and ( Day [ 4 , 6 ] ) demonstrated that under certain conditions combinations also yield uniformly convex spaces . A dual notion of " uniform flattening " is ...
Page 598
... uniform operator topology , then there exists a spectral subset o1 of o ( T ) such that E = E ( o1 ) . ( Hint . See Exercise VII.5.32 . ) 4 Let Te B ( X ) , T2 € B ( X ) , n = 1 , 2 , . . .. Suppose that T → T in the uniform topology ...
... uniform operator topology , then there exists a spectral subset o1 of o ( T ) such that E = E ( o1 ) . ( Hint . See Exercise VII.5.32 . ) 4 Let Te B ( X ) , T2 € B ( X ) , n = 1 , 2 , . . .. Suppose that T → T in the uniform topology ...
Page 857
... Uniform boundedness principle , in B - spaces , II.3.20-21 ( 66 ) discussion of , ( 80-82 ) in F - spaces , II.1.11 ( 52 ) for measures , IV.9.8 ( 309 ) Uniform continuity , of an almost periodic function , IV.7.4 ( 283 ) criterion for ...
... Uniform boundedness principle , in B - spaces , II.3.20-21 ( 66 ) discussion of , ( 80-82 ) in F - spaces , II.1.11 ( 52 ) for measures , IV.9.8 ( 309 ) Uniform continuity , of an almost periodic function , IV.7.4 ( 283 ) criterion for ...
Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
Copyright | |
80 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 ca(S Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions converges convex set Corollary countably additive DEFINITION dense disjoint Doklady Akad E₁ element ergodic exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism K₁ L₁ L₁(S Lebesgue Lemma Let f linear manifold linear map linear operator linear topological space measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative o-field o-finite open set operator topology positive measure space Proc PROOF properties proved real numbers reflexive Riesz S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory topological space u-integrable u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ