Linear maps on ℬ(ℋ) preserving some operator properties

Niazi Motlagh, Abolfazl ; Bodaghi, Abasalt ^[1] ; Grailoo Tanha, Somaye
1. [1] Islamic Azad University
  
  Islamic Azad University
  
  Irán
Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 6, 2021, págs. 1357-1365
Idioma: inglés
DOI: 10.22199/issn.0717-6279-4360
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Resumen
- 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.