Linear maps on ℬ(ℋ) preserving some operator properties
Keywords:Liner map, Standard operator algebra, Involution
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.
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Copyright (c) 2021 Abolfazl Niazi Motlagh, Abasalt Bodaghi, Somaye Grailoo Tanha
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