Algebraic properties of generalized inverse of operators

Debashis Paikaray; Pabitra Kumar Jena

doi:10.5269/bspm.78820

Debashis Paikaray Berhampur University
Pabitra Kumar Jena Berhampur University

Résumé

This study explores the algebraic properties of Moore-Penrose inverse, Drazin-Moore-Penrose inverse, and the dual Drazin-Moore-Penrose inverse of operators defined on Hilbert spaces. It presents some sufficient conditions under which reverse order law, forward order law and absorption law hold, utilizing various types of generalized inverses.

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