Linear Operators: General theory |
From inside the book
Results 1-3 of 74
Page xvi
... union , or sum , of the sets a in A. This union is denoted by A or Ua . The intersection , or product , of the sets a in A is the set of all in A which are elements of every a e A. If A = { a , b , . . . , c } we will sometimes write the ...
... union , or sum , of the sets a in A. This union is denoted by A or Ua . The intersection , or product , of the sets a in A is the set of all in A which are elements of every a e A. If A = { a , b , . . . , c } we will sometimes write the ...
Page 2
... union , or sum , of the sets a in A. This union is denoted by ○ A or Ua . The intersection , or product , of the sets a in A is the set of all x in A which are elements of every a e A. If A { a , b , . . . , c } we will sometimes write ...
... union , or sum , of the sets a in A. This union is denoted by ○ A or Ua . The intersection , or product , of the sets a in A is the set of all x in A which are elements of every a e A. If A { a , b , . . . , c } we will sometimes write ...
Page 10
... union of every one of its subfamilies , and the intersection of every one of its finite subfamilies . The pair ( X , 7 ) is called a topological space ; but sometimes ift is understood , we refer to X as a topological space . If τ , t1 ...
... union of every one of its subfamilies , and the intersection of every one of its finite subfamilies . The pair ( X , 7 ) is called a topological space ; but sometimes ift is understood , we refer to X as a topological space . If τ , t1 ...
Contents
B Topological Preliminaries | 10 |
Metric Spaces | 23 |
Product Spaces | 31 |
Copyright | |
49 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 Cauchy sequence compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive DEFINITION denote dense differential equations Doklady Akad Duke Math E₁ elements ergodic exists extension f₁ function defined function f Hausdorff space Hence Hilbert space homomorphism inequality integral L₁ L₁(S Lebesgue Lemma Let f linear functional linear map linear operator linear topological space measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative normed linear space o-field 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 topological space u-integrable u-measurable u-null uniformly unit sphere valued function vector space weakly compact zero ΕΕΣ