A note on the positivity of inverse operators acting on C⋆-algebras
Year: 2024
Type: article
Abstract: For a positive and invertible linear operator T acting on a C ⋆ -algebra, we give necessary and sufficient criteria for the inverse operator T − 1 to be positive, too. Moreover, a simple counterexample shows that T − 1 need not be positive even if T is unital and its spectrum is contained in the unit circle.
Authors: Jochen Glück, Ulrich Groh
Institutions: University of Wuppertal, University of Tübingen
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,870
OpenAlex ID: W4405430513