Linear Operators: Spectral theory |
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Results 1-3 of 18
Page 1899
... weakly compact operator , VI.4.7-8 ( 484-485 ) Adjoint space , definition , II.3.7 ( 61 ) representation for special spaces , IV.15 a.e. ( See Almost everywhere ) Affine mapping , definition , ( 456 ) fixed points of , V.10.6 ( 456 ) ...
... weakly compact operator , VI.4.7-8 ( 484-485 ) Adjoint space , definition , II.3.7 ( 61 ) representation for special spaces , IV.15 a.e. ( See Almost everywhere ) Affine mapping , definition , ( 456 ) fixed points of , V.10.6 ( 456 ) ...
Page 1915
... weakly compact , definition , VI.4.1 ( 482 ) study of , VI.4 zero , ( 37 ) Operator topologies , VI.1 bounded strong , VI.9.9 ( 512 ) bounded weak , VI.9.7-10 ( 512 ) continuous linear functionals in , VI.1.4 ( 477 ) properties , VI.9.1 ...
... weakly compact , definition , VI.4.1 ( 482 ) study of , VI.4 zero , ( 37 ) Operator topologies , VI.1 bounded strong , VI.9.9 ( 512 ) bounded weak , VI.9.7-10 ( 512 ) continuous linear functionals in , VI.1.4 ( 477 ) properties , VI.9.1 ...
Page 1923
... Weak Cauchy sequence , criteria for in special spaces , IV.15 definition , II.3.25 ( 67 ) Weak completeness ... Weakly compact operator , in C , VI.7.1 ( 490 ) , VI.7.3–6 ( 493–496 ) definition , VI.4.1 ( 482 ) in L1 , VI.8.1 ...
... Weak Cauchy sequence , criteria for in special spaces , IV.15 definition , II.3.25 ( 67 ) Weak completeness ... Weakly compact operator , in C , VI.7.1 ( 490 ) , VI.7.3–6 ( 493–496 ) definition , VI.4.1 ( 482 ) in L1 , VI.8.1 ...
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