Linear Operators: General theory |
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Page 326
... determining what is a public use . " ( Cooley Const . Lim . , 533. ) Chancellor Kent says that " It undoubtedly must rest , as a general rule , in the wisdom of the legislature to determine where public use requires the assumption of ...
... determining what is a public use . " ( Cooley Const . Lim . , 533. ) Chancellor Kent says that " It undoubtedly must rest , as a general rule , in the wisdom of the legislature to determine where public use requires the assumption of ...
Page 506
... determining the limits of the village of Chapin , the location of the plat will not determine , but it must be determined from the facts and circumstances surrounding it ; and if they believe , from the evidence , that the town lots ...
... determining the limits of the village of Chapin , the location of the plat will not determine , but it must be determined from the facts and circumstances surrounding it ; and if they believe , from the evidence , that the town lots ...
Page 541
... determine , that which was unknown until a final de- cree , what amount constituted the statutory indebted- ness . As we have said , the latter amount was not and could not be fixed at the time of the bankruptcy , it could only be ...
... determine , that which was unknown until a final de- cree , what amount constituted the statutory indebted- ness . As we have said , the latter amount was not and could not be fixed at the time of the bankruptcy , it could only be ...
Contents
A Settheoretic Preliminaries | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
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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 disjoint Doklady Akad domain E₁ element exists f₁ finite dimensional finite number function defined function f Hausdorff space Hence Hilbert space homeomorphism inequality integral L₁ L₁(S Lebesgue Lemma Let f linear functional linear map linear operator linear topological space measurable function measure space metric space Nauk SSSR N. S. neighborhood non-negative o-field open set operator topology positive measure space Proc PROOF proved real numbers Riesz Russian S₁ scalar semi-group sequentially compact Show spectral strong operator topology subset subspace Suppose T₁ theory topological space u-integrable u-measurable uniformly unit sphere valued function weakly compact zero ΕΕΣ