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Invertibility of the Sum of Idempotents |
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| Authors: | JJ Koliha V Rako?evi? |
| Institution: | 1. Department of Mathematics and Statistics , The University of Melbourne , VIC, 3010, Australia;2. Philosophical Faculty , University of Ni? , Ni?, 18000, Yugoslavia-Serbia |
| Abstract: | We study necessary and sufficient conditions for the invertibility of the sum f+g when f and g are idempotents in a unital ring or bounded linear operators in Hilbert or Banach spaces. We describe the relation between the invertibility of f+g and f m g. |
| Keywords: | Unital Ring Idempotent Bounded Linear Operator |