Linear maps on ℬ(ℋ) preserving some operator properties
Author
Niazi Motlagh, Abolfazl
Bodaghi, Abasalt
Grailoo Tanha, Somaye
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/436010.22199/issn.0717-6279-4360
Abstract
In this paper, for a complex Hilbert space ℋ with dim ℋ ≥ 2, we study the linear maps on ℬ(ℋ), the bounded linear operators on ℋ, that preserves projections and idempotents. As a result, we characterize the linear maps on ℬ(ℋ) that preserves involutions in both directions.