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 2528
... Acad . Sci . Paris 248 , 1105-1108 ( 1959 ) . 7. Certaines applications des ensembles spectraux . I. Mesure harmonique - spectrale . Acad . R. P. Romine Stud . Cerc . Mat . 10 , 365-401 ( 1959 ) . ( Romanian . Russian and French ...
... Acad . Sci . Paris 248 , 1105-1108 ( 1959 ) . 7. Certaines applications des ensembles spectraux . I. Mesure harmonique - spectrale . Acad . R. P. Romine Stud . Cerc . Mat . 10 , 365-401 ( 1959 ) . ( Romanian . Russian and French ...
Page 2538
... Acad . 37 , 464–468 ( 1961 ) . 2. Simplification of the canonical spectral representation of a normal operator in ... Acad . 37 , 566–570 ( 1961 ) . 4. Functional - representations of normal operators in Hilbert spaces and their ...
... Acad . 37 , 464–468 ( 1961 ) . 2. Simplification of the canonical spectral representation of a normal operator in ... Acad . 37 , 566–570 ( 1961 ) . 4. Functional - representations of normal operators in Hilbert spaces and their ...
Page 2570
... Acad . Sci . Paris 256 , 3413-3415 ( 1963 ) . 5 . Une caractérisation des sous - espaces invariants pour une contraction de l'espace de Hilbert . C. R. Acad . Sci . Paris 258 , 3426–3429 ( 1964 ) . 6. Quasi - similitude des opérateurs ...
... Acad . Sci . Paris 256 , 3413-3415 ( 1963 ) . 5 . Une caractérisation des sous - espaces invariants pour une contraction de l'espace de Hilbert . C. R. Acad . Sci . Paris 258 , 3426–3429 ( 1964 ) . 6. Quasi - similitude des opérateurs ...
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