Linear Operators: General theory |
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Page 746
... Math . Ann . 125 , 401-434 ( 1953 ) . 2 . Der Entwicklungssatz nach Produkten bei singulären Eigenwertproblemen partieller Differentialgleichungen , die durch Separation zerfallen . Nachr . Akad . Wiss . Göttingen . Math.-Phys.-Kl. 1954 ...
... Math . Ann . 125 , 401-434 ( 1953 ) . 2 . Der Entwicklungssatz nach Produkten bei singulären Eigenwertproblemen partieller Differentialgleichungen , die durch Separation zerfallen . Nachr . Akad . Wiss . Göttingen . Math.-Phys.-Kl. 1954 ...
Page 762
... Math . Ann . 73 , 371-412 ( 1913 ) . Hanson , E. H. 1. A note on compactness . Bull . Amer . Math . Soc . 39 , 397-400 ( 1933 ) . Harazov , D. F. 1 . 2 . On a class of linear equations in Hilbert spaces . Soobščeniya Akad . Nauk Gruzin ...
... Math . Ann . 73 , 371-412 ( 1913 ) . Hanson , E. H. 1. A note on compactness . Bull . Amer . Math . Soc . 39 , 397-400 ( 1933 ) . Harazov , D. F. 1 . 2 . On a class of linear equations in Hilbert spaces . Soobščeniya Akad . Nauk Gruzin ...
Page 790
... Math . J. 5 , 520–534 ( 1939 ) . 2. On the supporting - plane property of a convex body . Bull . Amer . Math . Soc . 46 , 482-489 ( 1940 ) . Munroe , M. E. 1. Absolute and unconditional convergence in Banach spaces . Duke Math . J. 13 ...
... Math . J. 5 , 520–534 ( 1939 ) . 2. On the supporting - plane property of a convex body . Bull . Amer . Math . Soc . 46 , 482-489 ( 1940 ) . Munroe , M. E. 1. Absolute and unconditional convergence in Banach spaces . Duke Math . J. 13 ...
Contents
Preliminary Concepts | 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 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 ergodic exists f₁ finite dimensional function defined function f 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-integrable u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ