Linear Operators, Part 2Interscience Publishers, 1963 - Algebra, Universal |
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Page 1795
... Proc . Nat . Acad . Sci . U.S.A. 38 , 230–235 ( 1952 ) . The Dirichlet and vibration problems for linear elliptic differential equations of arbitrary order . Proc . Nat . Acad . Sci . U.S.A. 38 , 741-747 ( 1952 ) . Assumption of ...
... Proc . Nat . Acad . Sci . U.S.A. 38 , 230–235 ( 1952 ) . The Dirichlet and vibration problems for linear elliptic differential equations of arbitrary order . Proc . Nat . Acad . Sci . U.S.A. 38 , 741-747 ( 1952 ) . Assumption of ...
Page 1824
... Proc . Second Berkeley Symposium Math . Statistics and Prob . , 189 215 ( 1951 ) . Kaczmarz , S. , and Steinhaus , H ... Proc . Imp . Acad . Tokyo 13 , 93 94 ( 1937 ) . 2 . 3 . 4 . 5 . 7 . Weak topology and regularity of Banach spaces ...
... Proc . Second Berkeley Symposium Math . Statistics and Prob . , 189 215 ( 1951 ) . Kaczmarz , S. , and Steinhaus , H ... Proc . Imp . Acad . Tokyo 13 , 93 94 ( 1937 ) . 2 . 3 . 4 . 5 . 7 . Weak topology and regularity of Banach spaces ...
Page 1879
... Proc . Imp . Acad . Tokyo 17 , 121–124 ( 1941 ) . Vector lattices and additive set functions . Proc . Imp . Acad . Tokyo 17 , 228-232 ( 1941 ) . 3 . 4 . On the unitary equivalence in general Euclidean space . Proc . Japan Acad . 22 ...
... Proc . Imp . Acad . Tokyo 17 , 121–124 ( 1941 ) . Vector lattices and additive set functions . Proc . Imp . Acad . Tokyo 17 , 228-232 ( 1941 ) . 3 . 4 . On the unitary equivalence in general Euclidean space . Proc . Japan Acad . 22 ...
Contents
IX | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
Copyright | |
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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 compact subset complex numbers continuous function converges Corollary deficiency indices Definition denote dense domain 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 isometric isomorphism kernel L₁(R L₂(I L₂(R Lemma Let f linear linearly independent mapping matrix measure neighborhood norm open set open subset orthonormal partial differential operator Plancherel's theorem positive PROOF prove real axis real numbers satisfies Section sequence solution spectral spectral theory square-integrable subspace Suppose T₁ T₁(t theory To(t topology unique unitary vanishes vector zero