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Böttcher, Albrecht; Spitkovsky, Ilya M. : Drazin inversion in the von Neumann algebra generated by two orthogonal projections

Böttcher, Albrecht ; Spitkovsky, Ilya M. : Drazin inversion in the von Neumann algebra generated by two orthogonal projections

Author(s):
Böttcher, Albrecht
Spitkovsky, Ilya M.
Title:
Drazin inversion in the von Neumann algebra generated by two orthogonal projections
Electronic source:
application/pdf
Preprint series:
Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 2, 2009
Mathematics Subject Classification:
47L15 [ Operator algebras with symbol structure ]
15A09 [ Matrix inversion, generalized inverses ]
46L10 [ General theory of von Neumann algebras ]
47C15 [ Operators in $C^*$- or von Neumann algebras ]
Abstract:
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.
Keywords:
Drazin inverse, Moore-Penrose inverse, orthogonal projection, von Neumann algebra
Language:
English
Publication time:
1 / 2009