Linear Operators: General theory |
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Page 741
... Linear parabolic differential equations of arbitrary order ; general boundary- value problems for elliptic equations . Proc . Nat . Acad . Sci . U.S.A. 39 , 185-190 ( 1953 ) . 5. Strongly elliptic systems of differential equations ...
... Linear parabolic differential equations of arbitrary order ; general boundary- value problems for elliptic equations . Proc . Nat . Acad . Sci . U.S.A. 39 , 185-190 ( 1953 ) . 5. Strongly elliptic systems of differential equations ...
Page 762
... equations in Hilbert spaces . Soobščeniya Akad . Nauk Gruzin . SSR 13 , 65-72 ( 1952 ) . ( Russian ) Math . Rev. 14 , 990 ( 1953 ) . On a class of linear equations with symmetrizable operators ... differential equations 762 REFERENCES.
... equations in Hilbert spaces . Soobščeniya Akad . Nauk Gruzin . SSR 13 , 65-72 ( 1952 ) . ( Russian ) Math . Rev. 14 , 990 ( 1953 ) . On a class of linear equations with symmetrizable operators ... differential equations 762 REFERENCES.
Page 781
... differential equations of the second order . Gosudarstv . Izdat . Tehn . - Teor . Lit. , Moscow - Leningrad , 1950 . On a decomposition theorem for characteristic functions of differential equations of second order . Doklady Akad . Nauk ...
... differential equations of the second order . Gosudarstv . Izdat . Tehn . - Teor . Lit. , Moscow - Leningrad , 1950 . On a decomposition theorem for characteristic functions of differential equations of second order . Doklady Akad . Nauk ...
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