Linear Operators, Part 2 |
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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 2403
... application , which is finally attained , following a series of preliminary lemmas , in Theorem 21 . The following inequality will provide a technical basis for a first . group of applications of Theorem 1. Aside from the slight ...
... application , which is finally attained , following a series of preliminary lemmas , in Theorem 21 . The following inequality will provide a technical basis for a first . group of applications of Theorem 1. Aside from the slight ...
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 |
The Canonical Reduction of a Spectral Operator | 1939 |
Bounded Spectral Operators in Hilbert Space | 1947 |
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 Borel function 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 eigenvalues elements equation exists finite number follows from Lemma 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