Linear Operators: General theory |
From inside the book
Results 1-3 of 81
Page 598
... uniform operator topology , then there exists a spectral subset of o ( T ) such that E 01 E ( 01 ) . ( Hint . See Exercise VII.5.32 . ) = 4 Let Te B ( X ) , T2 € B ( X ) , n = = 1 , 2 , .. .. Suppose that T , → T in the uniform ...
... uniform operator topology , then there exists a spectral subset of o ( T ) such that E 01 E ( 01 ) . ( Hint . See Exercise VII.5.32 . ) = 4 Let Te B ( X ) , T2 € B ( X ) , n = = 1 , 2 , .. .. Suppose that T , → T in the uniform ...
Page 841
... uniform continuity , I.6.16-18 ( 23- 24 ) of almost periodic functions , IV.7.4 ( 283 ) Continuous ( or μ ... uniform , definition , IV.6.10 ( 268 ) properties , IV.6.11-12 ( 268-269 ) , IV.6.30-31 ( 281 ) μ - uniform , criteria for ...
... uniform continuity , I.6.16-18 ( 23- 24 ) of almost periodic functions , IV.7.4 ( 283 ) Continuous ( or μ ... uniform , definition , IV.6.10 ( 268 ) properties , IV.6.11-12 ( 268-269 ) , IV.6.30-31 ( 281 ) μ - uniform , criteria for ...
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
A Settheoretic Preliminaries | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
Copyright | |
31 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 disjoint Doklady Akad domain E₁ element exists f₁ finite dimensional finite number function defined function f Hausdorff space Hence Hilbert space homeomorphism inequality integral L₁ L₁(S Lebesgue Lemma Let f linear functional linear map linear operator linear topological space measurable function measure space metric space Nauk SSSR N. S. neighborhood non-negative o-field open set operator topology positive measure space Proc PROOF proved real numbers Riesz Russian S₁ scalar semi-group sequentially compact Show spectral strong operator topology subset subspace Suppose T₁ theory topological space u-integrable u-measurable uniformly unit sphere valued function weakly compact zero ΕΕΣ