Linear Operators: Spectral operators |
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Results 1-3 of 53
Page 1978
... normal operator in AP is a spectral operator . For if A is a normal operator in Ão , it follows from Theorem 9.3 that for e - almost all s in the p × p matrix  ( s ) is normal . Since , for a Borel set o , the projection E = E ( o ;  ...
... normal operator in AP is a spectral operator . For if A is a normal operator in Ão , it follows from Theorem 9.3 that for e - almost all s in the p × p matrix  ( s ) is normal . Since , for a Borel set o , the projection E = E ( o ;  ...
Page 2005
... normal operators . Thus both of the operators in ( 57 ) are scalar type operators , and for any a and b in A , 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 A , they are similar to normal operators . In the case of the operators ( 55 ) and ( 58 ) the situation is somewhat different ...
Page 2516
... normal operators . J. London Math . Soc . 40 , 478-486 ( 1965 ) . 2 . The spectral theorem for unbounded normal operators . Pacific J. Math . 19 , 391-406 ( 1966 ) . 3. Extreme eigenvectors of a normal operator . Proc . Amer . Math ...
... normal operators . J. London Math . Soc . 40 , 478-486 ( 1965 ) . 2 . The spectral theorem for unbounded normal operators . Pacific J. Math . 19 , 391-406 ( 1966 ) . 3. Extreme eigenvectors of a normal operator . Proc . Amer . Math ...
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