Linear Operators: Spectral theory |
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Page 1800
... Banach space . Trans . Amer . Math . Soc . 69 , 105–131 ( 1950 ) . Branch points of solutions of equations in Banach ... spaces . Duke Math . J. 8 , 763–770 ( 1941 ) . Reflexive Banach spaces not isomorphic to uniformly convex spaces ...
... Banach space . Trans . Amer . Math . Soc . 69 , 105–131 ( 1950 ) . Branch points of solutions of equations in Banach ... spaces . Duke Math . J. 8 , 763–770 ( 1941 ) . Reflexive Banach spaces not isomorphic to uniformly convex spaces ...
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 1869
... Banach spaces whose elements are analytic functions . Actas Acad . Ci . Lima 12 , 31-43 ( 1949 ) . Weak convergence in the space H " . Duke Math . J. 17 , 409-418 ( 1950 ) . New proofs of some theorems of Hardy by Banach space methods ...
... Banach spaces whose elements are analytic functions . Actas Acad . Ci . Lima 12 , 31-43 ( 1949 ) . Weak convergence in the space H " . Duke Math . J. 17 , 409-418 ( 1950 ) . New proofs of some theorems of Hardy by Banach space methods ...
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