Linear Operators: Spectral theory |
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Page 1801
... Banach spaces . Trans . Amer . Math . Soc . 51 , 583–608 ( 1942 ) . Ergodic theorems for abelian semi - groups ... Banach . Rev. Sci . 79 , 642–643 ( 1941 ) . 2 . 3 . 4 . 5 . Sur la séparation des ensembles convexes dans un espace de ...
... Banach spaces . Trans . Amer . Math . Soc . 51 , 583–608 ( 1942 ) . Ergodic theorems for abelian semi - groups ... Banach . Rev. Sci . 79 , 642–643 ( 1941 ) . 2 . 3 . 4 . 5 . Sur la séparation des ensembles convexes dans un espace de ...
Page 1856
... Banach algebras . Ann . of Math . ( 2 ) 51 , 615-628 ( 1950 ) . Representation of certain Banach algebras on Hilbert space . Duke Math . J. 18 , 27-39 ( 1951 ) . On spectral permanence for certain Banach algebras . Proc . Amer . Math ...
... Banach algebras . Ann . of Math . ( 2 ) 51 , 615-628 ( 1950 ) . Representation of certain Banach algebras on Hilbert space . Duke Math . J. 18 , 27-39 ( 1951 ) . On spectral permanence for certain Banach algebras . Proc . Amer . Math ...
Page 1858
... Banach spaces . Duke Math . J. 15 , 421-431 ( 1948 ) . Mapping degree in Banach spaces and spectral theory . Math . Z. 63 , 195–218 ( 1955 ) . Rubin , H. , and Stone , M. H. 1 . Postulates for generalizations of Hilbert space . Proc ...
... Banach spaces . Duke Math . J. 15 , 421-431 ( 1948 ) . Mapping degree in Banach spaces and spectral theory . Math . Z. 63 , 195–218 ( 1955 ) . Rubin , H. , and Stone , M. H. 1 . Postulates for generalizations of Hilbert space . Proc ...
Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
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A₁ adjoint extension adjoint operator algebra analytic B-algebra Borel set boundary conditions boundary values bounded operator C₁ closed closure coefficients compact operator complex numbers continuous function converges Corollary countably deficiency indices Definition denote dense eigenfunctions eigenvalues element equation essential spectrum Exercise exists f₁ finite dimensional follows from Lemma follows from Theorem formal differential operator formally self adjoint formula Fourier function f Haar measure Hence Hilbert space Hilbert-Schmidt operator homomorphism identity inequality infinity integral interval kernel L₁ L₁(R L₂ L₂(I L₂(R Lemma Let f linearly independent mapping matrix measure neighborhood non-zero norm operators in Hilbert orthogonal Plancherel's theorem positive preceding lemma prove real axis real numbers satisfies sequence shows solution spectral set spectral theorem square-integrable subset subspace Suppose T₁ T₂ theory To(t topology tr(T transform uniformly unique unitary vanishes vector zero