Let H be a real or complex Hilbert space with dim H > 1. The subspace A ⊂ ℬ(H) is an ideal if and only if TA - AT* ∈ for every T ∈ ℬ(H), A ∈ A. Every element of ℬ(H) is the finite sum of TA - AT* type operators.
ASJC Scopus subject areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics