Linear Operators: General theory |
From inside the book
Results 1-3 of 83
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 vi
Nelson Dunford, Jacob T. Schwartz. theory of spaces and operators , and all material pertaining to the spectral theory of arbitrary operators into the first part ; all material relating to the theory of completely reducible operators ...
Nelson Dunford, Jacob T. Schwartz. theory of spaces and operators , and all material pertaining to the spectral theory of arbitrary operators into the first part ; all material relating to the theory of completely reducible operators ...
Page 607
... theory , and by 1867 Laguerre [ 1 ] had considered infinite power series in a matrix in constructing the exponential ... theory of matrices , and secondly they are an abstraction of results in the theory of integral equations ...
... theory , and by 1867 Laguerre [ 1 ] had considered infinite power series in a matrix in constructing the exponential ... theory of matrices , and secondly they are an abstraction of results in the theory of integral equations ...
Contents
A Settheoretic Preliminaries | 1 |
10 | 30 |
Three Basic Principles of Linear Analysis | 49 |
Copyright | |
31 other sections not shown
Other editions - View all
Common terms and phrases
A₁ additive set function algebra analytic arbitrary B-space B₁ ba(S Banach Borel sets ca(S Cauchy sequence closed unit sphere compact Hausdorff space compact operator complex numbers conditionally compact contains continuous functions convex set Corollary countably additive DEFINITION denote dense E₁ element equation equivalent exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism K₁ L₁ L₁(S Lebesgue measure Lemma Let f linear map linear operator linear topological space Math measurable functions measure space metric space neighborhood non-negative non-zero normed linear space o-field o-finite open set operator topology positive measure space properties proved real numbers reflexive Riesz S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory TM(S topological space u-integrable u-measurable uniformly valued function weak topology weakly compact weakly sequentially compact X₁ zero ΕΕΣ