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Nelson Dunford, Jacob T. Schwartz. in A has a neighborhood containing at most a finite number of a ,. Since a finite number of these neighborhoods cover A , the sequence { a } consists of only a finite number of distinct points of A ...
Nelson Dunford, Jacob T. Schwartz. in A has a neighborhood containing at most a finite number of a ,. Since a finite number of these neighborhoods cover A , the sequence { a } consists of only a finite number of distinct points of A ...
Page 428
... a finite set of elements BX such that B1 | ≤1 / n and such that ( A , UB „ ) ° ( n + 1 ) S * CU . n If this is not the case , it is clear that the family of sets of the form ( An UB ) ° ○ ( n + 1 ) S * ( \ U ' where B is finite and | B | ...
... a finite set of elements BX such that B1 | ≤1 / n and such that ( A , UB „ ) ° ( n + 1 ) S * CU . n If this is not the case , it is clear that the family of sets of the form ( An UB ) ° ○ ( n + 1 ) S * ( \ U ' where B is finite and | B | ...
Page 556
Nelson Dunford, Jacob T. Schwartz. 1. Spectral Theory in a Finite Dimensional Space Throughout this section , X will denote a finite dimensional com- plex B - space , and T a linear operator in B ( X ) . Our aim is to study the algebraic ...
Nelson Dunford, Jacob T. Schwartz. 1. Spectral Theory in a Finite Dimensional Space Throughout this section , X will denote a finite dimensional com- plex B - space , and T a linear operator in B ( X ) . Our aim is to study the algebraic ...
Contents
8 | 28 |
Algebraic Preliminaries | 34 |
Three Basic Principles of Linear Analysis | 49 |
Copyright | |
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A₁ additive set function algebra Amer analytic arbitrary B-space ba(S Banach Borel sets ca(S Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions converges convex set Corollary countably additive DEFINITION dense differential disjoint Doklady Akad E₁ element equation exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism L₁ L₁(S Lebesgue Lemma Let f linear map linear operator linear topological space Math measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative normed linear space o-field o-finite open set operator topology positive measure space Proc PROOF properties proved real numbers Riesz 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