Linear Operators: General theory |
From inside the book
Results 1-3 of 53
Page 743
... transformations in Hilbert space . Duke J. Math . 7 , 504-508 ( 1940 ) . Cameron , R. H. 1. A " Simpson's Rule " for the numerical evaluation of Wiener's integrals in function space . Duke Math . J. 18 , 111-130 ( 1951 ) . 2 . 3 . 4 ...
... transformations in Hilbert space . Duke J. Math . 7 , 504-508 ( 1940 ) . Cameron , R. H. 1. A " Simpson's Rule " for the numerical evaluation of Wiener's integrals in function space . Duke Math . J. 18 , 111-130 ( 1951 ) . 2 . 3 . 4 ...
Page 814
... transformations autoadjointes dans l'espace de Hilbert . Comment . Math . Helv . 19 , 347-366 ( 1946-1947 ) . On the set of positive functions in L. Ann . of Math . ( 2 ) 39 , 1-13 ( 1938 ) . On semi - groups of self - adjoint ...
... transformations autoadjointes dans l'espace de Hilbert . Comment . Math . Helv . 19 , 347-366 ( 1946-1947 ) . On the set of positive functions in L. Ann . of Math . ( 2 ) 39 , 1-13 ( 1938 ) . On semi - groups of self - adjoint ...
Page 826
... transformations and their resolvents in Orlicz and Lebesgue spaces . Compositio Math . 10 , 56-94 ( 1952 ) . 3. Normalisable transformations in Hilbert space and systems of linear integral equations . Acta Math . 83 , 197-248 ( 1950 ) ...
... transformations and their resolvents in Orlicz and Lebesgue spaces . Compositio Math . 10 , 56-94 ( 1952 ) . 3. Normalisable transformations in Hilbert space and systems of linear integral equations . Acta Math . 83 , 197-248 ( 1950 ) ...
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 ba(S Banach spaces Borel sets ca(S Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive DEFINITION disjoint Doklady Akad E₁ element exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space integral isometric isomorphism K₁ L₁ L₁(S Lebesgue Lemma Let f linear functional 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 Russian S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory TM(S topological space u-integrable u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ