Linear Operators: Spectral theory |
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Page 888
... Boolean algebra of spectral sets onto a Boolean algebra of projection operators in X and that furthermore this homomorphism takes the unit o ( T ) in the algebra of spectral sets into the unit I of the algebra of projections . This ...
... Boolean algebra of spectral sets onto a Boolean algebra of projection operators in X and that furthermore this homomorphism takes the unit o ( T ) in the algebra of spectral sets into the unit I of the algebra of projections . This ...
Page 1900
... algebra . ( See Algebra ) B * -algebras , IX.3 ( 874–879 ) . ( See also Algebra ) B - space ( or Banach space ) ... Boolean algebra . ( See also Boolean ring ) definition , ( 43 ) properties , ( 44 ) representation of , ( 44 ) Boolean ring ...
... algebra . ( See Algebra ) B * -algebras , IX.3 ( 874–879 ) . ( See also Algebra ) B - space ( or Banach space ) ... Boolean algebra . ( See also Boolean ring ) definition , ( 43 ) properties , ( 44 ) representation of , ( 44 ) Boolean ring ...
Page 1917
... algebra , IX.1.2 ( 861 ) Regular element in a ring , ( 40 ) Regular method of summability , II.4.35 ( 75 ) Regular ... Boolean algebras , ( 44 ) for Boolean rings with unit , I.12.1 ( 41 ) for conjugate spaces , IV.15 of finitely ...
... algebra , IX.1.2 ( 861 ) Regular element in a ring , ( 40 ) Regular method of summability , II.4.35 ( 75 ) Regular ... Boolean algebras , ( 44 ) for Boolean rings with unit , I.12.1 ( 41 ) for conjugate spaces , IV.15 of finitely ...
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