Drazin inversion in the von Neumann algebra generated by two orthogonal projections

A. Böttcher, Ilya Spitkovsky

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)403-409
Number of pages7
JournalJournal of Mathematical Analysis and Applications
Volume358
Issue number2
DOIs
StatePublished - Oct 15 2009

Fingerprint

Orthogonal Projection
Invertibility
Von Neumann Algebra
Algebra
Mathematical operators
Inversion
Operator

Keywords

  • Drazin inverse
  • Moore-Penrose inverse
  • Orthogonal projection
  • von Neumann algebra

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Drazin inversion in the von Neumann algebra generated by two orthogonal projections. / Böttcher, A.; Spitkovsky, Ilya.

In: Journal of Mathematical Analysis and Applications, Vol. 358, No. 2, 15.10.2009, p. 403-409.

Research output: Contribution to journalArticle

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