Linear Operators, Part 2Interscience Publishers, 1963 - Algebra, Universal |
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Page 1835
... Akad . Nauk SSSR ( N. S. ) 73 , 651-654 ( 1950 ) . ( Russian ) Math . Rev. 12 , 502 ( 1951 ) . On a theorem of H. Weyl . Doklady Akad . Nauk SSSR ( N. S. ) 82 , 673–676 ( 1952 ) . ( Russian ) Math . Rev. 13 , 844 ( 1952 ) . On the ...
... Akad . Nauk SSSR ( N. S. ) 73 , 651-654 ( 1950 ) . ( Russian ) Math . Rev. 12 , 502 ( 1951 ) . On a theorem of H. Weyl . Doklady Akad . Nauk SSSR ( N. S. ) 82 , 673–676 ( 1952 ) . ( Russian ) Math . Rev. 13 , 844 ( 1952 ) . On the ...
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 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 Haar measure 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 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 transform unique unitary vanishes vector zero