Linear Operators: General theory |
From inside the book
Results 1-3 of 81
Page v
... theory of linear operations , together with a survey of the application of this general theory to the diverse fields of more classical analysis . It has been our desire to emphasize the significance of the relationships between the ...
... theory of linear operations , together with a survey of the application of this general theory to the diverse fields of more classical analysis . It has been our desire to emphasize the significance of the relationships between the ...
Page viii
... theory given in Chapter XIX . Surveying in netrospect the theories presented in the following twenty chapters , it seems to the authors that the general theory of the first seven chapters , and the Hilbert space theory of self - adjoint ...
... theory given in Chapter XIX . Surveying in netrospect the theories presented in the following twenty chapters , it seems to the authors that the general theory of the first seven chapters , and the Hilbert space theory of self - adjoint ...
Page 611
... theory . The questions of perturbation theory go back to the work of Lord Rayleigh and E. Schrödinger , but it is Rellich who developed the theory along the lines presented here . ( For an expository paper on this theory , see Rellich ...
... theory . The questions of perturbation theory go back to the work of Lord Rayleigh and E. Schrödinger , but it is Rellich who developed the theory along the lines presented here . ( For an expository paper on this theory , see Rellich ...
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