Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897660 | Linear Algebra and its Applications | 2018 | 13 Pages |
Abstract
If B is a subalgebra of a von Neumann algebra AâB(H) and B contains the rank one projections corresponding to an orthonormal basis of H, then a linear B-bimodule projection P on A with range B is of the formP(x)=âjpjxpjxâB(H) for orthogonal projections pj in A which are diagonal with respect to the basis. An analogous result holds if A=B(H) and B is a weakly closed ternary ring of operators.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Robert Pluta, Bernard Russo,