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 1879
... Acad . Tokyo 17 , 121–124 ( 1941 ) . Vector lattices and additive set functions . Proc . Imp . Acad . Tokyo 17 , 228-232 ( 1941 ) . On the unitary equivalence in general Euclidean space . Proc . Japan Acad . 22 , 242-245 ( 1946 ) . Mean ...
... Acad . Tokyo 17 , 121–124 ( 1941 ) . Vector lattices and additive set functions . Proc . Imp . Acad . Tokyo 17 , 228-232 ( 1941 ) . On the unitary equivalence in general Euclidean space . Proc . Japan Acad . 22 , 242-245 ( 1946 ) . Mean ...
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
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
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A₁ 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 countably deficiency indices Definition denote dense eigenfunctions eigenvalues element equation essential spectrum Exercise exists f₁ finite dimensional follows from Lemma follows from Theorem formal differential operator formally self adjoint formula Fourier function f Haar measure Hence Hilbert space Hilbert-Schmidt operator homomorphism identity inequality infinity integral interval kernel L₁ L₁(R L₂ L₂(I L₂(R Lemma Let f linearly independent mapping matrix measure neighborhood non-zero norm operators in Hilbert orthogonal Plancherel's theorem positive preceding lemma prove real axis real numbers satisfies sequence shows solution spectral set spectral theorem square-integrable subset subspace Suppose T₁ T₂ theory To(t topology tr(T transform uniformly unique unitary vanishes vector zero