The minus order and range additivity
We study the minus order on the algebra of bounded linear operators on a Hilbert space. By giving a characterization in terms of range additivity, we show that the intrinsic nature of the minus order is algebraic. Applications to generalized inverses of the sum of two operators, to systems of operat...
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| Veröffentlicht in: | Linear algebra and its applications 2017-10, Vol.531, p.234-256 |
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| container_title | Linear algebra and its applications |
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| creator | Djikić, Marko S. Fongi, Guillermina Maestripieri, Alejandra |
| description | We study the minus order on the algebra of bounded linear operators on a Hilbert space. By giving a characterization in terms of range additivity, we show that the intrinsic nature of the minus order is algebraic. Applications to generalized inverses of the sum of two operators, to systems of operator equations and to optimization problems are also presented. |
| doi_str_mv | 10.1016/j.laa.2017.05.045 |
| format | Article |
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| ispartof | Linear algebra and its applications, 2017-10, Vol.531, p.234-256 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Addition & subtraction Generalized inverses Generalized linear models Hilbert space Least squares problems Linear algebra Linear operators Mathematical problems Minus order Operators (mathematics) Optimization Range additivity |
| title | The minus order and range additivity |
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