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

A. Böttcher; I. M. Spitkovsky

doi:10.1016/j.jmaa.2009.05.019

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

A. Böttcher, I. M. Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	403-409
Number of pages	7
Journal	Journal of Mathematical Analysis and Applications
Volume	358
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2009.05.019
State	Published - Oct 15 2009

Keywords

Drazin inverse
Moore-Penrose inverse
Orthogonal projection
von Neumann algebra

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2009.05.019

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title = "Drazin inversion in the von Neumann algebra generated by two orthogonal projections",

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",

author = "A. B{\"o}ttcher and Spitkovsky, {I. M.}",

year = "2009",

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AU - Spitkovsky, I. M.

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N2 - 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.

AB - 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.

KW - Drazin inverse

KW - Moore-Penrose inverse

KW - Orthogonal projection

KW - von Neumann algebra

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JO - Journal of Mathematical Analysis and Applications

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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