Geodesic
Ranges of Products of Operators
Canadian journal of mathematics, Tome 26 (1974) no. 6, pp. 1430-1441

Voir la notice de l'article provenant de la source Cambridge University Press

Suppose that T and A are bounded linear operators. In this paper we examine the relation between the ranges of A and TA, under various additional hypotheses on T and A. We also consider the dual problem of the relation between the null-spaces of T and AT; and we consider some cases where T or A are only closed operators. Our major results about ranges of bounded operators are summarized in the following theorem.Theorem 1. Suppose that T is a bounded operator on a Banach space E and that A is a non-zero bounded operator from some Banach space to E. 
Grabiner, Sandy. Ranges of Products of Operators. Canadian journal of mathematics, Tome 26 (1974) no. 6, pp. 1430-1441. doi: 10.4153/CJM-1974-137-7
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