3- https://doi.org/10.1007/bf01272882
The Kre�n-Langer problem for Hilbert space operator valued functions on the band
- Dec 1, 1999
- Integral Equations and Operator Theory
- R Bruzual +1 more
Abstract
We deal with the Krein-Langer problem for\(\mathcal{L}(\mathcal{H})\)-valued functions on the band (−2a, 2a)×Γ, where\(\mathcal{L}(\mathcal{H})\) is the algebra of continuous linear operators on a Hilbert space\(\mathcal{H}\),a a finite positive number and Γ a topological Abelian group. We show that every weakly continuous κ-indefinite function\(f:( - 2a,2a) \times \Gamma \to \mathcal{L}(\mathcal{H})\) admits a strongly continuous κ-indefinite continuation to ℝ × Γ with the same indefiniteness index κ. We give a parametrization of the extensions in terms of operator-valued Schur functions.
- # Topological Abelian Group
- # Operator Valued Functions
- # Hilbert Space
- # Problem For Operator
- # Algebra Of Operators
- # Topological Group
- # Continuous Operators
- # Continuous Function
- # Finite Number
- # Continuous Linear Operators
