Linear Operators: General theory |
From inside the book
Results 1-3 of 67
Page 3
... domain of ƒ contains the domain of g , and f ( x ) g ( x ) for x in the domain of g . The restriction of a function f to a subset A of its domain is sometimes denoted by f4 . If ƒ : A → B , and for each bef ( 4 ) there is only one a e ...
... domain of ƒ contains the domain of g , and f ( x ) g ( x ) for x in the domain of g . The restriction of a function f to a subset A of its domain is sometimes denoted by f4 . If ƒ : A → B , and for each bef ( 4 ) there is only one a e ...
Page 230
... domain U in Z is connected if and only if every pair of its points lies on some simple Jordan curve contained in U. Let f be a function analytic on a domain U in the space of n complex variables , and let g be an analytic function ...
... domain U in Z is connected if and only if every pair of its points lies on some simple Jordan curve contained in U. Let f be a function analytic on a domain U in the space of n complex variables , and let g be an analytic function ...
Page 539
... 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 . Gelfand [ 2 ] represented the general and compact operators with range in C [ 0 ...
... 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 . Gelfand [ 2 ] represented the general and compact operators with range in C [ 0 ...
Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
Copyright | |
80 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 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 ergodic exists f₁ finite dimensional function defined function f 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-integrable u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ