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Page 1831
... Doklady Akad . Nauk SSSR ( N. S. ) 30 , 484-488 ( 1941 ) . Infinite J - matrices and a matrix moment problem . Doklady Akad . Nauk SSSR ( N. S. ) 69 , 125–128 ( 1949 ) . ( Russian ) Math . Rev. 11 , 670 ( 1950 ) . On the trace formula ...
... Doklady Akad . Nauk SSSR ( N. S. ) 30 , 484-488 ( 1941 ) . Infinite J - matrices and a matrix moment problem . Doklady Akad . Nauk SSSR ( N. S. ) 69 , 125–128 ( 1949 ) . ( Russian ) Math . Rev. 11 , 670 ( 1950 ) . On the trace formula ...
Page 1852
... Doklady Akad . Nauk SSSR ( N. S. ) 36 , 227-230 ( 1942 ) . 2 . 3 . 4 . 5 . 6 . 7 . On normed K - spaces . Doklady Akad . Nauk SSSR ( N. S. ) 33 , 12–14 ( 1941 ) . Universal K - spaces . Doklady Akad . Nauk SSSR ( N. S. ) 49 , 8–11 ...
... Doklady Akad . Nauk SSSR ( N. S. ) 36 , 227-230 ( 1942 ) . 2 . 3 . 4 . 5 . 6 . 7 . On normed K - spaces . Doklady Akad . Nauk SSSR ( N. S. ) 33 , 12–14 ( 1941 ) . Universal K - spaces . Doklady Akad . Nauk SSSR ( N. S. ) 49 , 8–11 ...
Page 1873
... Doklady Akad . Nauk SSSR ( N. S. ) 26 , 850-854 ( 1940 ) . Sur les propriétés du produit et de l'élément inverse dans les espaces semi- ordonnés linéaires . Doklady Akad . Nauk SSSR ( N. S. ) 26 , 855-859 ( 1940 ) . Linear spaces with ...
... Doklady Akad . Nauk SSSR ( N. S. ) 26 , 850-854 ( 1940 ) . Sur les propriétés du produit et de l'élément inverse dans les espaces semi- ordonnés linéaires . Doklady Akad . Nauk SSSR ( N. S. ) 26 , 855-859 ( 1940 ) . Linear spaces with ...
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