Linear Operators: General theory |
From inside the book
Results 1-3 of 70
Page 539
... Representation of operators in C. The representation of the general operator with domain and range in C [ 0 , 1 ] was given by Radon [ 1 ] . Both C. Fischer [ 1 ] and Radon [ 1 ] treated the compact operator from C [ 0 , 1 ] to itself ...
... Representation of operators in C. The representation of the general operator with domain and range in C [ 0 , 1 ] was given by Radon [ 1 ] . Both C. Fischer [ 1 ] and Radon [ 1 ] treated the compact operator from C [ 0 , 1 ] to itself ...
Page 686
... representation of the vector A ( x ) f in L ,. If we had started with another [ t , s ] -measurable representation K ( t , s ) of T ( t ) f then , since for almost all s , K ( t , s ) T ( t ) ( f , s ) for almost all t , it is seen that ...
... representation of the vector A ( x ) f in L ,. If we had started with another [ t , s ] -measurable representation K ( t , s ) of T ( t ) f then , since for almost all s , K ( t , s ) T ( t ) ( f , s ) for almost all t , it is seen that ...
Page 733
... Representation of functionals by integrals . Duke Math . J. 17 , 499–506 ( 1950 ) . 4. Approximation in , and representation of , certain Banach algebras . Amer . J. Math . 71 , 763-790 ( 1949 ) . 5 . 6 . A topology for spaces of ...
... Representation of functionals by integrals . Duke Math . J. 17 , 499–506 ( 1950 ) . 4. Approximation in , and representation of , certain Banach algebras . Amer . J. Math . 71 , 763-790 ( 1949 ) . 5 . 6 . A topology for spaces of ...
Contents
A Settheoretic Preliminaries | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
Copyright | |
59 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 converges convex set Corollary countably additive DEFINITION dense disjoint Doklady Akad E₁ element exists f₁ finite dimensional function defined function f g₁ Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism K₁ L₁ L₁(S Lebesgue Lemma Let f 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 S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory topological space u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ