Linear Operators: Spectral theory |
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Page 1796
... Univ . of California , Berkeley ( 1955 ) . Cafiero , F. 1 . 2 . 3 . 4 . 5 . Criteri di compattezza per le successioni di funzioni generalmente a variazione limitata , I , II . I. Atti Accad . Naz . Lincei . Rend . Cl.Sci . Fis . Math ...
... Univ . of California , Berkeley ( 1955 ) . Cafiero , F. 1 . 2 . 3 . 4 . 5 . Criteri di compattezza per le successioni di funzioni generalmente a variazione limitata , I , II . I. Atti Accad . Naz . Lincei . Rend . Cl.Sci . Fis . Math ...
Page 1849
... Univ . Ser . A. 11 , 125-128 ( 1942 ) . On Fréchet lattices , I. J. Sci . Hirosima Univ . Ser . A. 12 , 235-248 ( 1943 ) . ( Japanese ) Math . Rev. 10 , 544 ( 1949 ) . Remarks on a vector lattice with a metric function . J. Sci ...
... Univ . Ser . A. 11 , 125-128 ( 1942 ) . On Fréchet lattices , I. J. Sci . Hirosima Univ . Ser . A. 12 , 235-248 ( 1943 ) . ( Japanese ) Math . Rev. 10 , 544 ( 1949 ) . Remarks on a vector lattice with a metric function . J. Sci ...
Page 1870
... Univ . Lund no . 9 , 1948 . An extension of a convexity theorem due to M. Riesz . Comm . Sém . Math . Univ . Lund no . 4 , 1939 . Tingley , A. J. 1. A generalization of the Poisson formula for the solution of the heat flow equation ...
... Univ . Lund no . 9 , 1948 . An extension of a convexity theorem due to M. Riesz . Comm . Sém . Math . Univ . Lund no . 4 , 1939 . Tingley , A. J. 1. A generalization of the Poisson formula for the solution of the heat flow equation ...
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