Linear Operators: Spectral theory |
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Page 1823
... Acad . Sci . Paris 222 , 707-709 ( 1946 ) . Remarques sur les racines carrées hermitiennes d'un opérateur hermitien positif borné . C. R. Acad . Sci . Paris 222 , 829–832 ( 1946 ) . Sur la representation spectrale des racines ...
... Acad . Sci . Paris 222 , 707-709 ( 1946 ) . Remarques sur les racines carrées hermitiennes d'un opérateur hermitien positif borné . C. R. Acad . Sci . Paris 222 , 829–832 ( 1946 ) . Sur la representation spectrale des racines ...
Page 1868
... Acad . 27 , 159-161 ( 1951 ) . Sunouchi , S. ( see Nakamura , M. ) Sylvester , J. J. 1. On the equation to the secular inequalities in the planetary theory . Phil . Mag . 16 , 267-269 ( 1883 ) . Reprinted in Collected Papers 4 , 110-111 ...
... Acad . 27 , 159-161 ( 1951 ) . Sunouchi , S. ( see Nakamura , M. ) Sylvester , J. J. 1. On the equation to the secular inequalities in the planetary theory . Phil . Mag . 16 , 267-269 ( 1883 ) . Reprinted in Collected Papers 4 , 110-111 ...
Page 1882
... Acad . Sci . Paris 248 , 2943–2944 ( 1959 ) . 2. Sur un théorème de Wiener - Lévy . C. R. Acad . Sci . Paris 246 , 1949–1951 ( 1958 ) . Katznelson , Y. 1. Sur les fonctions opérant sur l'algèbre des séries de Fourier absolument ...
... Acad . Sci . Paris 248 , 2943–2944 ( 1959 ) . 2. Sur un théorème de Wiener - Lévy . C. R. Acad . Sci . Paris 246 , 1949–1951 ( 1958 ) . Katznelson , Y. 1. Sur les fonctions opérant sur l'algèbre des séries de Fourier absolument ...
Contents
SPECTRAL THEORY Self Adjoint Operators in Hilbert Space | 858 |
BAlgebras | 859 |
Commutative BAlgebras | 868 |
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59 other sections not shown
Common terms and phrases
adjoint extension adjoint operator algebra analytic B-algebra Borel set boundary conditions boundary values bounded operator C₁ closed closure coefficients compact operator complex numbers continuous function converges Corollary deficiency indices Definition denote dense eigenvalues element equation essential spectrum Exercise exists finite dimensional follows from Lemma follows from Theorem follows immediately formal differential operator formally self adjoint formula Fourier function defined function f Hence Hilbert space Hilbert-Schmidt operator identity inequality integral interval isometric isomorphism kernel L₁ L₁(R L₂ L₂(I L₂(R Lemma Let f linear linearly independent mapping matrix measure neighborhood non-zero norm open set operators in Hilbert orthogonal orthonormal basis Plancherel's theorem positive preceding lemma PROOF prove real axis real numbers satisfies sequence solution spectral spectral theorem square-integrable subspace Suppose T₁ T₂ theory To(t topology tr(T unique unitary vanishes vector zero