Unitaries permuting two orthogonal projections

作者：Simon Barry^*

来源：Linear Algebra and Its Applications, 2017, 528: 436-441.

DOI：10.1016/j.laa.2017.03.026

• Pairs of projections
• Index

Let P and Q be two orthogonal projections on a separable Hilbert space, H. Wang, Du and Dou proved that there exists a unitary, U, with UPU-1 = Q, UQU(-1) = P if and only if dim(ker P boolean AND ker(1 - Q)) = dim(ker Q boolean AND ker(1 - P)) (both may be infinite). We provide a new proof using the supersymmetric machinery of Avron, Seiler and Simon.

• 出版日期2017-9-1