Linear Operators, Part 2Interscience Publishers, 1963 - Algebra, Universal |
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Page 1835
... Nauk SSSR ( N. S. ) 71 , 605–608 ( 1950 ) . ( Russian ) Math . Rev. 11 , 720 ( 1950 ) . Proof of the theorem on the expansion in eigenfunctions of self - adjoint differential operators . Doklady Akad . Nauk SSSR ( N. S. ) 73 , 651-654 ...
... Nauk SSSR ( N. S. ) 71 , 605–608 ( 1950 ) . ( Russian ) Math . Rev. 11 , 720 ( 1950 ) . Proof of the theorem on the expansion in eigenfunctions of self - adjoint differential operators . Doklady Akad . Nauk SSSR ( N. S. ) 73 , 651-654 ...
Page 1852
... Nauk SSSR ( N. S. ) 36 , 227-230 ( 1942 ) . 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 ( 1945 ) . On the decomposition of K ...
... Nauk SSSR ( N. S. ) 36 , 227-230 ( 1942 ) . 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 ( 1945 ) . On the decomposition of K ...
Page 1864
... Nauk SSSR ( N. S. ) 18 , 255 257 ( 1938 ) . Schwache Kompaktheit in den Banachschen Räumen . Doklady Akad . Nauk SSSR ( N. S. ) 28 , 199 202 ( 1940 ) . 3. Weak compactness in Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) . Skorohod ...
... Nauk SSSR ( N. S. ) 18 , 255 257 ( 1938 ) . Schwache Kompaktheit in den Banachschen Räumen . Doklady Akad . Nauk SSSR ( N. S. ) 28 , 199 202 ( 1940 ) . 3. Weak compactness in Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) . Skorohod ...
Contents
IX | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
Copyright | |
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adjoint extension adjoint operator algebra analytic B-algebra B*-algebra Borel set boundary conditions boundary values bounded operator C₁ closed closure Co(I coefficients compact subset complex numbers continuous function converges Corollary deficiency indices Definition denote dense domain eigenvalues element essential spectrum exists finite dimensional follows from Lemma follows from Theorem follows immediately formal differential operator formally self adjoint formula Fourier function defined function f Haar measure Hence Hilbert space Hilbert-Schmidt operator identity inequality integral interval isometric isomorphism kernel L₁(R L₂(I L₂(R Lemma Let f linear linearly independent mapping matrix measure neighborhood norm open set open subset orthonormal partial differential operator Plancherel's theorem positive PROOF prove real axis real numbers satisfies Section sequence solution spectral spectral theory square-integrable subspace Suppose T₁ T₁(t theory To(t topology unique unitary vanishes vector zero