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Page xiii
... Spectral Theory 1. Spectral Theory in a Finite Dimensional Space 3. Functions of an Operator 4. Spectral Theory of Compact Operators 5. Exercises 6. Perturbation Theory 7. Tauberian Theory 8. Exercises 9. An Operational Calculus for ...
... Spectral Theory 1. Spectral Theory in a Finite Dimensional Space 3. Functions of an Operator 4. Spectral Theory of Compact Operators 5. Exercises 6. Perturbation Theory 7. Tauberian Theory 8. Exercises 9. An Operational Calculus for ...
Page 555
Nelson Dunford, Jacob T. Schwartz. CHAPTER VII General Spectral Theory In the first section of this chapter we shall see that a study of the ... Spectral Theory in a Finite Dimensional Space Throughout this 555 General Spectral Theory ·
Nelson Dunford, Jacob T. Schwartz. CHAPTER VII General Spectral Theory In the first section of this chapter we shall see that a study of the ... Spectral Theory in a Finite Dimensional Space Throughout this 555 General Spectral Theory ·
Page 749
... Spectral theory . Bull . Amer . Math . Soc . 49 , 637-651 ( 1943 ) . 7. Spectral theory I , Convergence to projections . Trans . Amer . Math . Soc . 54 , 185-217 ( 1943 ) . 8. Integration and linear operations . Trans . Amer . Math ...
... Spectral theory . Bull . Amer . Math . Soc . 49 , 637-651 ( 1943 ) . 7. Spectral theory I , Convergence to projections . Trans . Amer . Math . Soc . 54 , 185-217 ( 1943 ) . 8. Integration and linear operations . Trans . Amer . Math ...
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