Linear maps on ℬ(ℋ) preserving some operator properties
Keyword(s):
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.
1974 ◽
Vol 26
(1)
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pp. 115-120
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2015 ◽
Vol 17
(05)
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pp. 1450042
Keyword(s):
1996 ◽
Vol 53
(3)
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pp. 391-400
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2013 ◽
Vol 59
(1)
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pp. 163-172