Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 |
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Page 2512
... 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 ) Math . Rev. 32 ...
... 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 ) Math . Rev. 32 ...
Page 2545
... Nauk SSSR 130 , 254-256 ( 1960 ) . ( Russian ) Math . Rev. 24 # A1024 , 189 ( 1962 ) . Soviet Math . Dokl . 1 , 38–40 ( 1960 ) . On perturbation determinants and a trace formula for unitary and selfadjoint operators . Doklady Akad . Nauk ...
... Nauk SSSR 130 , 254-256 ( 1960 ) . ( Russian ) Math . Rev. 24 # A1024 , 189 ( 1962 ) . Soviet Math . Dokl . 1 , 38–40 ( 1960 ) . On perturbation determinants and a trace formula for unitary and selfadjoint operators . Doklady Akad . Nauk ...
Page 2549
... 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 # 4720 , 800 ...
... 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 # 4720 , 800 ...
Contents
SPECTRAL OPERATORS | 1924 |
Relations Between a Spectral Operator and Its Scalar | 1950 |
The Algebras and | 1967 |
Copyright | |
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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 linear operator bounded operator closed operator commuting compact complex numbers complex plane converges Corollary countably additive Definition denote dense differential operator Doklady Akad domain E₁ eigenvalues elements equation exists finite number follows from Lemma follows from Theorem 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