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Page 611
... multiplicity with no limit points except possibly 20. Further R contains any other ideal in B ( X ) whose operators have spectra of the nature just specified . In certain spaces , e.g. C or L1 , we have seen that there exist operators ...
... multiplicity with no limit points except possibly 20. Further R contains any other ideal in B ( X ) whose operators have spectra of the nature just specified . In certain spaces , e.g. C or L1 , we have seen that there exist operators ...
Page 761
... multiplicity . Chelsea , New York , 1951 . 7. Finite dimensional vector spaces . Ann . of Math . Stud . No. 7. Princeton Univ . Press , Princeton , 1942 . 8 . An ergodic theorem . Proc . Nat . Acad . Sci . U.S.A. 32 , 156-161 ( 1946 ) ...
... multiplicity . Chelsea , New York , 1951 . 7. Finite dimensional vector spaces . Ann . of Math . Stud . No. 7. Princeton Univ . Press , Princeton , 1942 . 8 . An ergodic theorem . Proc . Nat . Acad . Sci . U.S.A. 32 , 156-161 ( 1946 ) ...
Contents
B Topological Preliminaries | 10 |
Metric Spaces | 23 |
Product Spaces | 31 |
Copyright | |
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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