Linear Operators: Spectral theory |
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Page 1787
... Math . Rev. 11 , 525 ( 1950 ) . 2 . 3 . 4 . 5 . On biorthogonal systems . Doklady Akad . Nauk SSSR ( N.S. ) 67 , 413 ... Duke Math . J. 11 , 589–595 ( 1944 ) . Anzai , H. , and Kakutani , S. 1 . Bohr compactifications of a locally ...
... Math . Rev. 11 , 525 ( 1950 ) . 2 . 3 . 4 . 5 . On biorthogonal systems . Doklady Akad . Nauk SSSR ( N.S. ) 67 , 413 ... Duke Math . J. 11 , 589–595 ( 1944 ) . Anzai , H. , and Kakutani , S. 1 . Bohr compactifications of a locally ...
Page 1827
... Math . Soc . 72 , 323-326 ( 1952 ) . 3 . 4 . 5 . 6 . The Tychonoff product theorem implies the axiom of choice . Fund . Math . 37 , 75-76 ( 1950 ) . Convergence in topology . Duke Math . J. 17 , 277-283 ( 1950 ) . General topology . D ...
... Math . Soc . 72 , 323-326 ( 1952 ) . 3 . 4 . 5 . 6 . The Tychonoff product theorem implies the axiom of choice . Fund . Math . 37 , 75-76 ( 1950 ) . Convergence in topology . Duke Math . J. 17 , 277-283 ( 1950 ) . General topology . D ...
Page 1834
... Duke Math . J. 17 , 57-62 ( 1950 ) . On self - adjoint differential equations of second order . J. London Math . Soc . 27 , 33-47 ( 1952 ) . Sur la notion du groupe abstrait topologique . Fund . Math . 9 , 37-44 ( 1927 ) . Lengyel ...
... Duke Math . J. 17 , 57-62 ( 1950 ) . On self - adjoint differential equations of second order . J. London Math . Soc . 27 , 33-47 ( 1952 ) . Sur la notion du groupe abstrait topologique . Fund . Math . 9 , 37-44 ( 1927 ) . Lengyel ...
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