Linear Operators, Part 2Interscience Publishers, 1963 - Algebra, Universal |
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Page 1831
... 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 perturbation ...
... 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 perturbation ...
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 ...
Page 1873
... 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 given ...
... 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 given ...
Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
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Acad adjoint extension adjoint operator algebra Amer analytic B-algebra B*-algebra Banach Banach spaces Borel set boundary conditions boundary values bounded operator C₁ closed closure Co(I coefficients complex numbers continuous function converges Corollary deficiency indices Definition denote dense differential equations Doklady Akad domain eigenfunctions eigenvalues element essential spectrum exists follows from Lemma follows immediately formal differential operator formally self adjoint formula 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 linearly independent mapping Math matrix measure Nauk SSSR N. S. neighborhood norm open set operators in Hilbert orthogonal orthonormal positive Proc PROOF prove real axis satisfies sequence singular solution spectral spectral theory square-integrable subspace Suppose T₁ T₂ theory To(t topology transform unique unitary vanishes vector zero