Linear Operators, Part 2 |
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Results 1-3 of 82
Page 1162
... regular maximal ideals of L ( R ) are in one - to - one correspondence with the points of Mo , i.e. , with all the maximal ideals of the algebra obtained by adjoining an identity to L1 ( R ) except the point at infinity of M. Now in an ...
... regular maximal ideals of L ( R ) are in one - to - one correspondence with the points of Mo , i.e. , with all the maximal ideals of the algebra obtained by adjoining an identity to L1 ( R ) except the point at infinity of M. Now in an ...
Page 1529
... regular and one irregular singularity be given ; let the characteristic roots of Lf = 0 at its irregular singularity be distinct . We will show that specification of the regular singularity and its exponents , and the irregular ...
... regular and one irregular singularity be given ; let the characteristic roots of Lf = 0 at its irregular singularity be distinct . We will show that specification of the regular singularity and its exponents , and the irregular ...
Page 1917
... Regular closure , ( 462-463 ) Regular convexity , ( 462–463 ) Regular element in a B - algebra , IX.1.2 ( 861 ) Regular element in a ring , ( 40 ) Regular method of summability , II.4.35 ( 75 ) Regular point of a differential equa- tion ...
... Regular closure , ( 462-463 ) Regular convexity , ( 462–463 ) Regular element in a B - algebra , IX.1.2 ( 861 ) Regular element in a ring , ( 40 ) Regular method of summability , II.4.35 ( 75 ) Regular point of a differential equa- tion ...
Contents
BAlgebras | 861 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
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Common terms and phrases
adjoint extension adjoint operator algebra analytic B-algebra B*-algebra Borel set boundary conditions boundary values bounded operator C₁ closed closure coefficients compact operator complex numbers constant continuous function converges Corollary deficiency indices Definition denote dense eigenvalues element equation essential spectrum Exercise exists finite dimensional follows from Lemma follows from Theorem follows immediately formal differential operator formally self adjoint formula Fourier function defined function f Hence Hilbert space Hilbert-Schmidt operator identity inequality integral interval isometric isomorphism kernel L₁ L₁(R L₂(I L₂(R Lemma Let f linear linearly independent mapping matrix measure neighborhood non-zero norm open set operators in Hilbert orthogonal orthonormal basis Plancherel's theorem positive preceding lemma prove real axis real numbers satisfies sequence solution spectral spectral theorem square-integrable subset subspace Suppose T₁ T₂ theory To(t topology unique unitary vanishes vector zero