Resumen de Linear maps on ℬ(ℋ) preserving some operator properties

Abolfazl Niazi Motlagh, Abasalt Bodaghi, Somaye Grailoo Tanha

• 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.