Linear Operators: General theory |
From inside the book
Results 1-3 of 22
Page 743
... Math . Soc . 45 , 369-442 ( 1939 ) . Two sided ideals and congruences in the ring of bounded operators in Hilbert space . Ann . of Math . ( 2 ) 42 , 839-873 ( 1941 ) . 3. Symmetric transformations in Hilbert space . Duke J. Math . 7 ...
... Math . Soc . 45 , 369-442 ( 1939 ) . Two sided ideals and congruences in the ring of bounded operators in Hilbert space . Ann . of Math . ( 2 ) 42 , 839-873 ( 1941 ) . 3. Symmetric transformations in Hilbert space . Duke J. Math . 7 ...
Page 773
... Math . Soc . 72 , 323-326 ( 1952 ) . 3 . The Tychonoff product theorem implies the axiom of choice . Fund . Math . 37 , 75-76 ( 1950 ) . 4. Convergence in topology . Duke Math . J. 17 , 277-283 ( 1950 ) . 5 . 6 . General topology . D ...
... Math . Soc . 72 , 323-326 ( 1952 ) . 3 . The Tychonoff product theorem implies the axiom of choice . Fund . Math . 37 , 75-76 ( 1950 ) . 4. Convergence in topology . Duke Math . J. 17 , 277-283 ( 1950 ) . 5 . 6 . General topology . D ...
Page 780
... Duke Math . J. 17 , 57-62 ( 1950 ) . On self - adjoint differential equations of second order . J. London Math . Soc . 27 , 33-47 ( 1952 ) . Leja , F. 1. Sur la notion du groupe abstrait topologique . Fund . Math . 9 , 37-44 ( 1927 ) ...
... Duke Math . J. 17 , 57-62 ( 1950 ) . On self - adjoint differential equations of second order . J. London Math . Soc . 27 , 33-47 ( 1952 ) . Leja , F. 1. Sur la notion du groupe abstrait topologique . Fund . Math . 9 , 37-44 ( 1927 ) ...
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