The Kreîn-Langer problem for Hilbert space operator valued functions on the band |
| |
| Authors: | R Bruzual S A M Marcantognini |
| |
| Institution: | (1) Escuela de Matemáticas, Faculated de Ciencias, Universidad Central de Venezuela, Caracas, Venezuela;(2) Departamento de Matemáticas, IVIC, Caracas, Venezuela;(3) Departamento de Matemáticas, Universidad Simón Bolívar, Caracas, Venezuela;(4) Present address: Los Chaguaramos, Apartado Postal 47686, 1041-A Caracas, Venezuela;(5) Present address: Apartado Postal 21827 Caracas, 1020-A, Venezuela |
| |
| Abstract: | We deal with the Kreîn-Langer problem for
-valued functions on the band (–2a, 2a)× , where
is the algebra of continuous linear operators on a Hilbert space
,a a finite positive number and a topological Abelian group. We show that every weakly continuous  -indefinite function
admits a strongly continuous -indefinite continuation to  × with the same indefiniteness index . We give a parametrization of the extensions in terms of operator-valued Schur functions. |
| |
| Keywords: | Primary: 47B50 Secondary: 47D03 47A57 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
