Linear Operators: General theory |
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Page 741
... boundary values and the Green's function in the Dirichlet problem for the general linear elliptic equation . Proc ... boundary- value problems for elliptic equations . Proc . Nat . Acad . Sci . U.S.A. 39 , 185-190 ( 1953 ) . 5. Strongly ...
... boundary values and the Green's function in the Dirichlet problem for the general linear elliptic equation . Proc ... boundary- value problems for elliptic equations . Proc . Nat . Acad . Sci . U.S.A. 39 , 185-190 ( 1953 ) . 5. Strongly ...
Page 745
... values lie in a Dedekind complete partially ordered vector space . Dissert . , Yale Univ . ( 1954 ) . Clarkson ... boundary value problems . Canadian J. Math . 6 , 169–185 ( 1954 ) . Coddington , E. A. , and Levinson , N. 1. Theory of ...
... values lie in a Dedekind complete partially ordered vector space . Dissert . , Yale Univ . ( 1954 ) . Clarkson ... boundary value problems . Canadian J. Math . 6 , 169–185 ( 1954 ) . Coddington , E. A. , and Levinson , N. 1. Theory of ...
Page 777
... boundary value problem of even order in the interval ( 0 , ∞ ) . Doklady Akad . Nauk SSSR ( N. S. ) 74 , 9-12 ... values and on the Lyapunov zones of stability . Akad . Nauk SSSR . Prikl . Mat . Meh . 15 , 323-348 ( 1951 ) . ( Russian ) Math ...
... boundary value problem of even order in the interval ( 0 , ∞ ) . Doklady Akad . Nauk SSSR ( N. S. ) 74 , 9-12 ... values and on the Lyapunov zones of stability . Akad . Nauk SSSR . Prikl . Mat . Meh . 15 , 323-348 ( 1951 ) . ( Russian ) Math ...
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 ba(S Banach spaces Borel sets ca(S Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions converges convex set Corollary countably additive DEFINITION dense disjoint Doklady Akad E₁ element exists f₁ finite dimensional function defined function f g₁ Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism K₁ L₁ L₁(S Lebesgue Lemma Let f 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 S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory topological space u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ