Linear Operators, Part 2 |
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Page 1831
... 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 in ...
... 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 in ...
Page 1864
... Akad . 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 ) ...
... Akad . 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 ) ...
Page 1873
... Akad . Nauk SSSR ( N. S. ) 52 , 95–98 ( 1946 ) . Sur les opérations linéaires multiplicatives . Doklady Akad . Nauk SSSR ( N. S. ) 52 , 383–386 ( 1946 ) . Sur quelques opérations non - linéaires dans les espaces semi - ordonnés ...
... Akad . Nauk SSSR ( N. S. ) 52 , 95–98 ( 1946 ) . Sur les opérations linéaires multiplicatives . Doklady Akad . Nauk SSSR ( N. S. ) 52 , 383–386 ( 1946 ) . Sur quelques opérations non - linéaires dans les espaces semi - ordonnés ...
Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
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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 domain 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(I L₂(R Lemma Let f linearly independent mapping matrix measure neighborhood non-zero norm open set operators in Hilbert orthogonal orthonormal basis Plancherel's theorem positive preceding lemma prove real axis real numbers satisfies sequence solution spectral spectral theorem square-integrable subspace Suppose T₁ T₂ theory To(t topology tr(T transform unique unitary vanishes vector zero