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Page 773
... essential components of the set of fixed points . Osaka Math . J. 4 , 19-22 ( 1952 ) . Klee , V. L. , Jr. 1 . 2 . 3 . 4 . The support property of a convex set in a linear normed space . Duke ... essential spectrum . Technical REFERENCES 773.
... essential components of the set of fixed points . Osaka Math . J. 4 , 19-22 ( 1952 ) . Klee , V. L. , Jr. 1 . 2 . 3 . 4 . The support property of a convex set in a linear normed space . Duke ... essential spectrum . Technical REFERENCES 773.
Page 774
Nelson Dunford, Jacob T. Schwartz. 3 . Finite perturbations and the essential spectrum . Technical Report no . 4 to ... fundamental theorems in the theory of operators in Hilbert space . Proc . Imp . Acad . Tokyo 15 , 207-210 ( 1939 ) . 3 ...
Nelson Dunford, Jacob T. Schwartz. 3 . Finite perturbations and the essential spectrum . Technical Report no . 4 to ... fundamental theorems in the theory of operators in Hilbert space . Proc . Imp . Acad . Tokyo 15 , 207-210 ( 1939 ) . 3 ...
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