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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Results 1-3 of 53
Page 1925
... normal ) operators as developed in Chapters X and XII . The problem of extending this reduction theory to non - normal operators is one of the most important unsolved problems in the theory of linear operations . Consider , for instance ...
... normal ) operators as developed in Chapters X and XII . The problem of extending this reduction theory to non - normal operators is one of the most important unsolved problems in the theory of linear operations . Consider , for instance ...
Page 2005
... normal operators . Thus both of the operators in ( 57 ) are scalar type operators , and for any a and b in 2 , they are similar to normal operators . In the case of the operators ( 55 ) and ( 58 ) the situation is somewhat different ...
... normal operators . Thus both of the operators in ( 57 ) are scalar type operators , and for any a and b in 2 , they are similar to normal operators . In the case of the operators ( 55 ) and ( 58 ) the situation is somewhat different ...
Page 2538
... normal operators in Hilbert spaces . Proc . Japan Acad . 37 , 464–468 ( 1961 ) . 2. Simplification of the canonical spectral representation of a normal operator in Hilbert space and its applications . Mem . Fac . Educ . Kumamoto Univ ...
... normal operators in Hilbert spaces . Proc . Japan Acad . 37 , 464–468 ( 1961 ) . 2. Simplification of the canonical spectral representation of a normal operator in Hilbert space and its applications . Mem . Fac . Educ . Kumamoto Univ ...
Contents
SPECTRAL OPERATORS | 1924 |
Relations Between a Spectral Operator and Its Scalar | 1950 |
The Algebras and | 1967 |
Copyright | |
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Common terms and phrases
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