Geodesic
On the Operator Equations ABA=A2 and BAB=B2
Publications de l'Institut Mathématique, _N_S_78 (2005) no. 92, p. 127 .

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We generalize a result of I.~Vidav concerning the operator equations $ABA=A^2$ and $BAB=B^2$.
DOI : 10.2298/PIM0578127S
Classification : 47A05
Keywords: selfađoint operator, Drazin inverse 
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     author = {Christoph Schmoeger},
     title = {On the {Operator} {Equations} {ABA=A\protect\textsuperscript{2}} and {BAB=B\protect\textsuperscript{2}}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {127 },
     publisher = {mathdoc},
     volume = {_N_S_78},
     number = {92},
     year = {2005},
     doi = {10.2298/PIM0578127S},
     zbl = {1164.47309},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0578127S/}
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Christoph Schmoeger. On the Operator Equations ABA=A2 and BAB=B2. Publications de l'Institut Mathématique, _N_S_78 (2005) no. 92, p. 127 . doi : 10.2298/PIM0578127S. http://geodesic.mathdoc.fr/articles/10.2298/PIM0578127S/

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