| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4617835 | Journal of Mathematical Analysis and Applications | 2012 | 9 Pages |
Abstract
Let H be an infinite-dimensional real or complex Hilbert space and I∞(H) the set of all bounded linear idempotent operators on H with infinite-dimensional image and infinite-dimensional kernel. We characterize three types of maps on I∞(H), namely poset automorphisms, bijective maps preserving orthogonality in both directions, and bijective maps preserving commutativity in both directions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
