Linear Operators, Part 2Interscience Publishers, 1963 - Algebra, Universal |
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Page 1900
... definition , IV.2.25 ( 242 ) remarks concerning , ( 386-387 ) study of , IV.7 Almost uniform ( or μ - uniform conver- gence ) definition , III . 6.1 ( 145 ) . ( See also Convergence of func- tions ) Analytic continuation , ( 230 ) ...
... definition , IV.2.25 ( 242 ) remarks concerning , ( 386-387 ) study of , IV.7 Almost uniform ( or μ - uniform conver- gence ) definition , III . 6.1 ( 145 ) . ( See also Convergence of func- tions ) Analytic continuation , ( 230 ) ...
Page 1907
... definition , VII.1.2 ( 556 ) , VII.11 ( 606 ) , X.3.1 ( 902 ) Eigenvector , definition , VII.1.2 ( 556 ) , X.3.1 ( 903 ) Embedding , natural , of a B - space into its second conjugate , II.3.18 ( 66 ) End point of an interval , III.5.15 ...
... definition , VII.1.2 ( 556 ) , VII.11 ( 606 ) , X.3.1 ( 902 ) Eigenvector , definition , VII.1.2 ( 556 ) , X.3.1 ( 903 ) Embedding , natural , of a B - space into its second conjugate , II.3.18 ( 66 ) End point of an interval , III.5.15 ...
Page 1921
... definition , VII.7 ( 458 ) Strong operator topology , definition , VI.1.2 ( 475 ) properties , VI.9.1-5 ( 511 ) , VI.9.11- 12 ( 512-513 ) Strong topology , in a normed space , II.3.1 ( 59 ) , ( 419 ) Structure space of a B - algebra ...
... definition , VII.7 ( 458 ) Strong operator topology , definition , VI.1.2 ( 475 ) properties , VI.9.1-5 ( 511 ) , VI.9.11- 12 ( 512-513 ) Strong topology , in a normed space , II.3.1 ( 59 ) , ( 419 ) Structure space of a B - algebra ...
Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
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Acad adjoint extension adjoint operator algebra Amer analytic B-algebra B*-algebra Banach Banach spaces Borel set boundary conditions boundary values bounded operator C₁ closed closure Co(I coefficients complex numbers continuous function converges Corollary deficiency indices Definition denote dense differential equations Doklady Akad domain eigenfunctions eigenvalues element essential spectrum exists follows from Lemma follows immediately formal differential operator formally self adjoint formula 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 linearly independent mapping Math matrix measure Nauk SSSR N. S. neighborhood norm open set operators in Hilbert orthogonal orthonormal positive Proc PROOF prove real axis satisfies sequence singular solution spectral spectral theory square-integrable subspace Suppose T₁ T₂ theory To(t topology transform unique unitary vanishes vector zero