Geodesic
Stability of the Schmidt orthogonalization operator
Izvestiya. Mathematics , Tome 4 (1970) no. 4, pp. 811-834.

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In this article we prove the existence of points of local instability of the Schmidt orthogonalization operator and classify them. We establish the quadratic stability of this operator in a neighborhood of a fixed point. 
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A. M. Olevskii. Stability of the Schmidt orthogonalization operator. Izvestiya. Mathematics , Tome 4 (1970) no. 4, pp. 811-834. http://geodesic.mathdoc.fr/item/IM2_1970_4_4_a6/

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