Linear Operators: Spectral operators |
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Page 1911
... applications to modern physics might have to be omitted . Consequently , we are forced to relegate a large amount of interesting material to a brief reference in the Notes and Remarks . We want to stress here that such an abrogation of ...
... applications to modern physics might have to be omitted . Consequently , we are forced to relegate a large amount of interesting material to a brief reference in the Notes and Remarks . We want to stress here that such an abrogation of ...
Page 1915
... applications still to be discovered . Our original version of Theorem XVI.5.19 was presented as a corollary to the preceding theorem , but since it is essential for a number of the deep results in Chapter XX which have important ...
... applications still to be discovered . Our original version of Theorem XVI.5.19 was presented as a corollary to the preceding theorem , but since it is essential for a number of the deep results in Chapter XX which have important ...
Page 2564
... Applications à puissance nucléaire et applications de Hilbert - Schmidt dans les espaces de Banach . C. R. Acad . Sci . Paris 261 , 867-870 ( 1965 ) . 8. Applications à puissance nucléaire et applications de Hilbert - Schmidt dans les ...
... Applications à puissance nucléaire et applications de Hilbert - Schmidt dans les espaces de Banach . C. R. Acad . Sci . Paris 261 , 867-870 ( 1965 ) . 8. Applications à puissance nucléaire et applications de Hilbert - Schmidt dans les ...
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