Linear Operators: Spectral operators |
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Page 1910
... spectral theory of Chapter XIII . The spectral theory for self adjoint operators had its single seed sown by B. Taylor's discussion of the vibrating string in 1713 , just about a quarter of a century after the publication of Newton's ...
... spectral theory of Chapter XIII . The spectral theory for self adjoint operators had its single seed sown by B. Taylor's discussion of the vibrating string in 1713 , just about a quarter of a century after the publication of Newton's ...
Page 2227
... spectral theory of Hermitian operators to ordinary and partial differential operators it is first necessary to extend the spectral theory of bounded operators to a theory of unbounded operators . The present chapter is an attempt to ...
... spectral theory of Hermitian operators to ordinary and partial differential operators it is first necessary to extend the spectral theory of bounded operators to a theory of unbounded operators . The present chapter is an attempt to ...
Page 2535
... spectral properties of normal operators . Acta Sci . Math . Szeged 12 Pars B , 153–156 ( 1950 ) . 6. Introduction to Hilbert space and the theory of spectral multiplicity . Chelsea , New York , 1951 . 11 . Shifts on Hilbert spaces . J ...
... spectral properties of normal operators . Acta Sci . Math . Szeged 12 Pars B , 153–156 ( 1950 ) . 6. Introduction to Hilbert space and the theory of spectral multiplicity . Chelsea , New York , 1951 . 11 . Shifts on Hilbert spaces . J ...
Contents
SPECTRAL OPERATORS | 1924 |
14 | 1983 |
Sufficient Conditions | 2134 |
Copyright | |
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Common terms and phrases
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