Linear Operators, Part 2Interscience Publishers, 1963 - Algebra, Universal |
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Page 1903
... linear space . ( See B - space ) Complete orthonormal set , in Hilbert space , IV.4.8 ( 250 ) Complete partially ordered space , def- inition , I.3.9 ( 8 ) Completely regular space , compacti- fication of , IV.6.22 ( 276 ) , IX.2.16 ...
... linear space . ( See B - space ) Complete orthonormal set , in Hilbert space , IV.4.8 ( 250 ) Complete partially ordered space , def- inition , I.3.9 ( 8 ) Completely regular space , compacti- fication of , IV.6.22 ( 276 ) , IX.2.16 ...
Page 1913
... space , VIII.7.1-3 ( 687-689 ) in L1 , VIII.7.4 ( 689 ) in L , VIII.7.10 ( 694 ) discrete case in B - space , VIII.5.1-4 ( 661-662 ) in L1 , VIII.5.5 ( 662 ) in L ,, VIII.5.9 ( 667 ) Mean Fubini - Jessen theorem , III.11.24 ( 207 ) ...
... space , VIII.7.1-3 ( 687-689 ) in L1 , VIII.7.4 ( 689 ) in L , VIII.7.10 ( 694 ) discrete case in B - space , VIII.5.1-4 ( 661-662 ) in L1 , VIII.5.5 ( 662 ) in L ,, VIII.5.9 ( 667 ) Mean Fubini - Jessen theorem , III.11.24 ( 207 ) ...
Page 1921
... space of a B - algebra , IX.2.7 ( 869 ) Sturm - Liouville operator , XIII.2 ( 1291 ) , XIII.9.F ( 1550 ) Subadditive function , definition , ( 618 ) Subbase for a topology , I.4.6 ( 10 ) criterion for , I.4.8 ( 11 ) Subspace , of a linear ...
... space of a B - algebra , IX.2.7 ( 869 ) Sturm - Liouville operator , XIII.2 ( 1291 ) , XIII.9.F ( 1550 ) Subadditive function , definition , ( 618 ) Subbase for a topology , I.4.6 ( 10 ) criterion for , I.4.8 ( 11 ) Subspace , of a linear ...
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