Linear Operators, Part 2 |
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Page 2539
... ibid . 42 , 743-748 ( 1966 ) . XXIII . ibid . 42 , 749-754 ( 1966 ) . XXIV . ibid . 42 , 901-906 ( 1966 ) . Iohvidov , I. S. 1. Singular linear manifolds in spaces with an arbitrary Hermitian bilinear metric . Uspehi Mat . Nauk 17 ( 106 ) ...
... ibid . 42 , 743-748 ( 1966 ) . XXIII . ibid . 42 , 749-754 ( 1966 ) . XXIV . ibid . 42 , 901-906 ( 1966 ) . Iohvidov , I. S. 1. Singular linear manifolds in spaces with an arbitrary Hermitian bilinear metric . Uspehi Mat . Nauk 17 ( 106 ) ...
Page 2561
... ibid . 17 , 257-292 ( 1964 ) . On gentle perturbations . Perturbation theory and its application in quantum ... ibid . 20 , 145-187 ( 1967 ) . III . ibid . 27 , 21-67 ( 1969 ) . Rellich , F. 2. Störungstheorie der Spektralzerlegung , I ...
... ibid . 17 , 257-292 ( 1964 ) . On gentle perturbations . Perturbation theory and its application in quantum ... ibid . 20 , 145-187 ( 1967 ) . III . ibid . 27 , 21-67 ( 1969 ) . Rellich , F. 2. Störungstheorie der Spektralzerlegung , I ...
Page 2569
... ibid . 18 , 1-14 ( 1957 ) . 22. The " outer functions " and their role in functional calculus . Proc . Internat ... ibid . 21 , 251-259 ( 1960 ) . V. Translations bilatérales . ibid . 23 , 106–129 ( 1962 ) . VI . Calcul fonctionnel ...
... ibid . 18 , 1-14 ( 1957 ) . 22. The " outer functions " and their role in functional calculus . Proc . Internat ... ibid . 21 , 251-259 ( 1960 ) . V. Translations bilatérales . ibid . 23 , 106–129 ( 1962 ) . VI . Calcul fonctionnel ...
Contents
SPECTRAL OPERATORS | 1924 |
The Canonical Reduction of a Spectral Operator | 1939 |
Bounded Spectral Operators in Hilbert Space | 1947 |
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A₁ adjoint operator algebra of projections Amer analytic arbitrary B-algebra B*-algebra B₁ Banach space Boolean algebra Borel sets boundary conditions bounded Borel function bounded linear operator bounded operator closed operator commuting compact complex numbers complex plane converges Corollary countably additive Definition denote dense differential operator Doklady Akad domain eigenvalues elements equation exists finite number follows from Lemma formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality integral invariant inverse L₁ Lebesgue Lemma Math multiplicity Nauk SSSR norm operators in Hilbert perturbation polynomial PROOF properties prove quasi-nilpotent resolution Russian S₁ satisfies scalar type operator scalar type spectral Section sequence shows spectral measure spectral operator spectral theory spectrum subset subspace Suppose trace class type spectral operator unbounded uniformly bounded unique vector zero