科研之友
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摘要
Let H be an infinite dimensional complex Hilbert space and let phi be a surjective linear map on B(H) with phi(I)-I is an element of K(H), where K(H) denotes the closed ideal of all compact operators on H. If phi preserves the set of upper semi-Weyl operators and the set of all normal eigenvalues in both directions, then phi is an automorphism of the algebra B(H). Also the relation between the linear maps preserving the set of upper semi-Weyl operators and the linear maps preserving the set of left invertible operators is considered.
- 出版日期2014
- 单位陕西师范大学
