Linear Operators: General theory |
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Page 743
... Math . 78 , 282-288 ( 1956 ) . 4 . 5 . On the existence of certain singular integrals . Acta Math . 88 , 85–139 ( 1952 ) . On singular integrals . Amer . J. Math . 78 , 289-309 ( 1956 ) . 6. Algebras of certain singular operators . Amer . J ...
... Math . 78 , 282-288 ( 1956 ) . 4 . 5 . On the existence of certain singular integrals . Acta Math . 88 , 85–139 ( 1952 ) . On singular integrals . Amer . J. Math . 78 , 289-309 ( 1956 ) . 6. Algebras of certain singular operators . Amer . J ...
Page 762
... Math . Ann . 73 , 371-412 ( 1913 ) . Hanson , E. H. 1. A note on compactness . Bull . Amer . Math . Soc . 39 , 397-400 ( 1933 ) . Harazov , D. F. 1 . 2 . 3 . On a class of linear equations in Hilbert spaces . Soobščeniya Akad . Nauk ...
... Math . Ann . 73 , 371-412 ( 1913 ) . Hanson , E. H. 1. A note on compactness . Bull . Amer . Math . Soc . 39 , 397-400 ( 1933 ) . Harazov , D. F. 1 . 2 . 3 . On a class of linear equations in Hilbert spaces . Soobščeniya Akad . Nauk ...
Page 763
... Math . 76 , 831-838 ( 1954 ) . Hartman , P. , and Putnam , C. 1. The least cluster point of the spectrum of boundary value problems . Amer . J. Math . 70 , 847-855 ( 1948 ) . 2. The gaps in the essential spectra of wave equations . Amer ...
... Math . 76 , 831-838 ( 1954 ) . Hartman , P. , and Putnam , C. 1. The least cluster point of the spectrum of boundary value problems . Amer . J. Math . 70 , 847-855 ( 1948 ) . 2. The gaps in the essential spectra of wave equations . Amer ...
Contents
A Settheoretic Preliminaries | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
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 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