Linear Operators, Part 2 |
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Page 1845
... spaces of continuous functions over a compact space . Amer . J. Math . 71 , 701-705 ( 1949 ) . A theorem of the Hahn - Banach ... spaces and of functions on uniform spaces . Osaka Math . J. 1 , 166–181 ( 1949 ) . Nagumo , M. 1. Einige ...
... spaces of continuous functions over a compact space . Amer . J. Math . 71 , 701-705 ( 1949 ) . A theorem of the Hahn - Banach ... spaces and of functions on uniform spaces . Osaka Math . J. 1 , 166–181 ( 1949 ) . Nagumo , M. 1. Einige ...
Page 1864
... Banachschen Räumen . Doklady Akad . Nauk SSSR ( N. S. ) 28 , 199-202 ( 1940 ) . 3. Weak compactness in Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) . Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskii , M. G. 1. On estimates for ...
... Banachschen Räumen . Doklady Akad . Nauk SSSR ( N. S. ) 28 , 199-202 ( 1940 ) . 3. Weak compactness in Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) . Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskii , M. G. 1. On estimates for ...
Page 1869
... Banach spaces whose elements are analytic functions . Actas Acad . Ci . Lima 12 , 31-43 ( 1949 ) . Weak convergence in the space HP . 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 HP . Duke Math . J. 17 , 409-418 ( 1950 ) . New proofs of some theorems of Hardy by Banach space methods ...
Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
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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 deficiency indices Definition denote dense domain eigenvalues element equation essential spectrum Exercise exists finite dimensional follows from Lemma follows from Theorem follows immediately formal differential operator formally self adjoint formula Fourier function defined function f Hence Hilbert space Hilbert-Schmidt operator identity inequality integral interval isometric isomorphism kernel L₁ L₁(R L₂(I L₂(R Lemma Let f linearly independent mapping matrix measure neighborhood non-zero norm open set operators in Hilbert orthogonal orthonormal basis Plancherel's theorem positive preceding lemma prove real axis real numbers satisfies sequence solution spectral spectral theorem square-integrable subspace Suppose T₁ T₂ theory To(t topology tr(T transform unique unitary vanishes vector zero