Linear Operators: Spectral theory |
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Page 1797
... Math . 88 , 85-139 ( 1952 ) . On singular integrals . Amer . J. Math . 78 , 289–309 ( 1956 ) . Algebras of certain singular operators . Amer . J. Math . 78 , 310–320 ( 1956 ) . Calkin , J. W. 1. Abstract symmetric boundary conditions ...
... Math . 88 , 85-139 ( 1952 ) . On singular integrals . Amer . J. Math . 78 , 289–309 ( 1956 ) . Algebras of certain singular operators . Amer . J. Math . 78 , 310–320 ( 1956 ) . Calkin , J. W. 1. Abstract symmetric boundary conditions ...
Page 1844
... Math . J. 5 , 520–534 ( 1939 ) . 2. On the supporting - plane property of a convex body . Bull . Amer . Math . Soc . 46 , 482-489 ( 1940 ) . Munroe , M. E. 1 . 2 . 3 . 4 . Absolute and unconditional convergence in Banach spaces . Duke ...
... Math . J. 5 , 520–534 ( 1939 ) . 2. On the supporting - plane property of a convex body . Bull . Amer . Math . Soc . 46 , 482-489 ( 1940 ) . Munroe , M. E. 1 . 2 . 3 . 4 . Absolute and unconditional convergence in Banach spaces . Duke ...
Page 1854
... Math . 73 , 357-362 ( 1951 ) . On commutators of bounded matrices . Amer . J. Math . 73 , 127–131 ( 1951 ) . On the spectra of commutators . Proc . Amer . Math . Soc . 5 , 929–931 ( 1954 ) . An application of spectral theory to a ...
... Math . 73 , 357-362 ( 1951 ) . On commutators of bounded matrices . Amer . J. Math . 73 , 127–131 ( 1951 ) . On the spectra of commutators . Proc . Amer . Math . Soc . 5 , 929–931 ( 1954 ) . An application of spectral theory to a ...
Contents
BAlgebras | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
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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 complex numbers converges Corollary deficiency indices Definition denote dense domain eigenfunctions 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 kernel L₁(R L₂(I L₂(R Lemma Let f linearly independent mapping Math matrix measure neighborhood norm open set operators in Hilbert orthogonal orthonormal partial differential operator Plancherel's theorem positive preceding lemma prove real axis real numbers representation satisfies Section sequence solution spectral spectral theory square-integrable subspace Suppose symmetric operator T₁ T₂ theory To(t topology unique unitary vanishes vector zero