Linear Operators: Spectral operators |
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Page 2512
... Doklady Akad . Nauk SSSR 160 , 9-12 ( 1965 ) . ( Russian ) Math . Rev. 30 , # 5169 , 961 ( 1965 ) . 2 . On scattering operators and contraction semi - groups in Hilbert space . Doklady Akad . Nauk SSSR 165 , 9-12 ( 1965 ) . ( Russian ) ...
... Doklady Akad . Nauk SSSR 160 , 9-12 ( 1965 ) . ( Russian ) Math . Rev. 30 , # 5169 , 961 ( 1965 ) . 2 . On scattering operators and contraction semi - groups in Hilbert space . Doklady Akad . Nauk SSSR 165 , 9-12 ( 1965 ) . ( Russian ) ...
Page 2533
... Doklady Akad . Nauk SSSR 100 , 201-204 ( 1955 ) . ( Russian ) Math . Rev. 17 , 284 ( 1956 ) . Gol'dman , M. A. , and Kračkovskii , S. N. 1. Invariance of certain spaces associated with the operator A - XI . Doklady Akad . Nauk SSSR 154 ...
... Doklady Akad . Nauk SSSR 100 , 201-204 ( 1955 ) . ( Russian ) Math . Rev. 17 , 284 ( 1956 ) . Gol'dman , M. A. , and Kračkovskii , S. N. 1. Invariance of certain spaces associated with the operator A - XI . Doklady Akad . Nauk SSSR 154 ...
Page 2549
... Doklady Akad . Nauk SSSR 149 , 256-259 ( 1963 ) . ( Russian ) Soviet Math . Dokl . 4 , 363–366 ( 1963 ) . 7 . The inverse problem for a nonselfadjoint operator . Doklady Akad . Nauk SSSR 166 , 30–33 ( 1966 ) . ( Russian ) Math . Rev. 33 ...
... Doklady Akad . Nauk SSSR 149 , 256-259 ( 1963 ) . ( Russian ) Soviet Math . Dokl . 4 , 363–366 ( 1963 ) . 7 . The inverse problem for a nonselfadjoint operator . Doklady Akad . Nauk SSSR 166 , 30–33 ( 1966 ) . ( Russian ) Math . Rev. 33 ...
Contents
SPECTRAL OPERATORS | 1924 |
14 | 1983 |
Sufficient Conditions | 2134 |
Copyright | |
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A₁ adjoint operator algebra of projections Amer analytic arbitrary asymptotic B₁ Banach space Boolean algebra Borel set boundary conditions bounded Borel function bounded linear operator bounded operator commuting compact complete Boolean algebra complex numbers complex plane continuous functions converges Corollary countably additive Definition denote differential operator Doklady Akad domain E₁ eigenvalues elements equation exists finite number follows from Lemma follows from Theorem follows immediately formal differential operator formula function f H₁ H₂ Hence Hilbert space hypothesis identity inequality inverse L₁ Lebesgue Math multiplicity Nauk SSSR norm operators in Hilbert perturbation PROOF properties prove quasi-nilpotent resolution Russian satisfies scalar type operator scalar type spectral Section sequence shows spectral measure spectral operator spectral theory spectrum subset Suppose trace class type spectral operator unbounded uniformly bounded vector zero