Linear Operators: Spectral theory |
From inside the book
Results 1-3 of 81
Page 1797
... linear functionals . Bull . Amer . Math . Soc . 55 , 130-145 ( 1949 ) . Summability of certain series for unbounded non - linear functionals . Proc . Amer . Math . Soc . 4 , 375-387 ( 1953 ) . Cameron , R. H. , Lindgren , B. W. , and ...
... linear functionals . Bull . Amer . Math . Soc . 55 , 130-145 ( 1949 ) . Summability of certain series for unbounded non - linear functionals . Proc . Amer . Math . Soc . 4 , 375-387 ( 1953 ) . Cameron , R. H. , Lindgren , B. W. , and ...
Page 1877
... linear functionals to summability . Trans . Amer . Math . Soc . 67 , 59-68 ( 1949 ) . Wilder , C. E. 1 . 2 . Expansion problems of ordinary linear differential equations with auxiliary conditions at more than two points . Trans . Amer ...
... linear functionals to summability . Trans . Amer . Math . Soc . 67 , 59-68 ( 1949 ) . Wilder , C. E. 1 . 2 . Expansion problems of ordinary linear differential equations with auxiliary conditions at more than two points . Trans . Amer ...
Page 1912
... Linear dimension , ( 91 ) Linear functional , ( 38 ) . ( See also Functional ) Linear manifold , ( 36 ) . ( See also Mani- fold ) Linear operator , ( 36 ) . ( See also B- space ) Linear space , I.11 normed , II.3.1 ( 59 ) . ( See also B ...
... Linear dimension , ( 91 ) Linear functional , ( 38 ) . ( See also Functional ) Linear manifold , ( 36 ) . ( See also Mani- fold ) Linear operator , ( 36 ) . ( See also B- space ) Linear space , I.11 normed , II.3.1 ( 59 ) . ( See also B ...
Contents
BAlgebras | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
Copyright | |
37 other sections not shown
Other editions - View all
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 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