Journal of Mathematical Analysis and Applications
Criteria for Drazin and Moore-Penrose invertibility of operators in the von Neumann algebra generated by two orthogonal projections are established and explicit representations for the corresponding inverses are given. The results are illustrated by several examples that have recently been considered in the literature. (C) 2009 Elsevier Inc. All rights reserved.
Böttcher, A., & Spitkovsky, I. M. (2009). Drazin inversion in the von Neumann algebra generated by two orthogonal projections. Journal of Mathematical Analysis and Applications, 358(2), 403-409.