Linear maps on ℬ(ℋ) preserving some operator properties
DOI:
https://doi.org/10.22199/issn.0717-6279-4360Keywords:
Liner map, Standard operator algebra, InvolutionAbstract
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.
Published
2021-11-29
How to Cite
[1]
A. . Niazi Motlagh, A. Bodaghi, and S. . Grailoo Tanha, “Linear maps on ℬ(ℋ) preserving some operator properties”, Proyecciones (Antofagasta, On line), vol. 40, no. 6, pp. 1357-1365, Nov. 2021.
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Artículos
Copyright (c) 2021 Abolfazl Niazi Motlagh, Abasalt Bodaghi, Somaye Grailoo Tanha
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