Linear Operators: Spectral theory |
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Page 1163
... operators of Hilbert- Schmidt type . Chang [ 1 ] and [ 2 ] gives related results dealing with the product of an arbitrary finite number of operators of Hilbert - Schmidt type . Nikovič [ 1 ] gives some results for a class of integral ...
... operators of Hilbert- Schmidt type . Chang [ 1 ] and [ 2 ] gives related results dealing with the product of an arbitrary finite number of operators of Hilbert - Schmidt type . Nikovič [ 1 ] gives some results for a class of integral ...
Page 1393
... operator derived from either t1 or t2 has a continuous spectrum , and that , in fact , the spectrum of each such operator consists of an infinite sequence of points approaching + ∞o . We begin by defining a certain type of " spectrum ...
... operator derived from either t1 or t2 has a continuous spectrum , and that , in fact , the spectrum of each such operator consists of an infinite sequence of points approaching + ∞o . We begin by defining a certain type of " spectrum ...
Page 1864
... operator . Akad . Nauk SSSR . Prikl . Mat . Meh . 19 , 295-314 ( 1955 ) ... spectral . C. R. Acad . Sci . Paris 234 , 1024-1025 ( 1952 ) . Smithies , F. 1. The Fredholm ... type ( B ) . Doklady Akad . Nauk SSSR ( N. S. ) 18 , 405–407 ( 1938 ) ...
... operator . Akad . Nauk SSSR . Prikl . Mat . Meh . 19 , 295-314 ( 1955 ) ... spectral . C. R. Acad . Sci . Paris 234 , 1024-1025 ( 1952 ) . Smithies , F. 1. The Fredholm ... type ( B ) . Doklady Akad . Nauk SSSR ( N. S. ) 18 , 405–407 ( 1938 ) ...
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