Linear Operators: Spectral theory |
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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 ...
Page 1864
... Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) . Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskii , M. G. 1 ... Banach spaces . Doklady Akad . Nauk SSSR ( N. S. ) 22 , 471-473 ( 1939 ) . 2 . 3 . 4 . 5 . 6 . 7 . 8 . 9 . 10 . 11 ...
... Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) . Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskii , M. G. 1 ... Banach spaces . Doklady Akad . Nauk SSSR ( N. S. ) 22 , 471-473 ( 1939 ) . 2 . 3 . 4 . 5 . 6 . 7 . 8 . 9 . 10 . 11 ...
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