Geodesic
On partial isometries in $C^*$-algebras
M. Laura Arias 1   ; Mostafa Mbekhta 2
1 Instituto Argentino de Matemática “Alberto P. Calderón” Saavedra 15, Piso 3 (1083) Buenos Aires, Argentina
2 UFR de Mathématiques Université Lille I 59655 Villeneuve d'Ascq Cedex, France
Studia Mathematica, Tome 205 (2011) no. 1, pp. 71-82 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study similarity to partial isometries in $C^*$-algebras as well as their relationship with generalized inverses. Most of the results extend some recent results regarding partial isometries on Hilbert spaces. Moreover, we describe partial isometries by means of interpolation polynomials.
DOI : 10.4064/sm205-1-5
Keywords: study similarity partial isometries * algebras their relationship generalized inverses results extend recent results regarding partial isometries hilbert spaces moreover describe partial isometries means interpolation polynomials

M. Laura Arias  1   ; Mostafa Mbekhta  2

1 Instituto Argentino de Matemática “Alberto P. Calderón” Saavedra 15, Piso 3 (1083) Buenos Aires, Argentina
2 UFR de Mathématiques Université Lille I 59655 Villeneuve d'Ascq Cedex, France 
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M. Laura Arias; Mostafa Mbekhta. On partial isometries in $C^*$-algebras. Studia Mathematica, Tome 205 (2011) no. 1, pp. 71-82. doi: 10.4064/sm205-1-5

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