Linear Operators, Part 2Interscience Publishers, 1963 - Algebra, Universal |
From inside the book
Results 1-3 of 77
Page 1151
... remark inductively . 2 Let F1 and F2 be disjoint closed sets in R. We select an open set G1 in R such that F1K1CG1 ... remarked that this theorem was proved for compact groups in Theorem 1.1 , and that the only use XI.11.3 1151 NOTES AND ...
... remark inductively . 2 Let F1 and F2 be disjoint closed sets in R. We select an open set G1 in R such that F1K1CG1 ... remarked that this theorem was proved for compact groups in Theorem 1.1 , and that the only use XI.11.3 1151 NOTES AND ...
Page 1381
... remark T1 following Definition 2.29 , the two linear functionals f → f ( 0 ) and ff ( 1 ) form a complete set of ... remarks following Definition 2.29 , the formal differential operator ( 1 / i ) ( d / dt ) , if considered to be defined ...
... remark T1 following Definition 2.29 , the two linear functionals f → f ( 0 ) and ff ( 1 ) form a complete set of ... remarks following Definition 2.29 , the formal differential operator ( 1 / i ) ( d / dt ) , if considered to be defined ...
Page 1900
... remarks concerning , ( 383 ) Ascoli - Arzelà theorem , on compact- ness of continuous functions , IV.6.7 ( 266 ) remarks concerning , ( 382 ) Atom , in a measure space , IV.9.6 ( 308 ) Automorphisms , in groups , ( 35 ) B B - algebra ...
... remarks concerning , ( 383 ) Ascoli - Arzelà theorem , on compact- ness of continuous functions , IV.6.7 ( 266 ) remarks concerning , ( 382 ) Atom , in a measure space , IV.9.6 ( 308 ) Automorphisms , in groups , ( 35 ) B B - algebra ...
Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
Copyright | |
57 other sections not shown
Other editions - View all
Common terms and phrases
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