On oblique projectors. (English) Zbl 0930.15003

Two problems regarding oblique projectors are discussed. One is concerned with products of two oblique projectors and the other with decompositions of oblique projectors. The first problem relates to the determination of the onto- and the along-spaces of a product of two oblique projectors under various conditions. The second problem involves the decomposition of oblique projectors, when both predictor variables and instrumental variables consist of two distinct sets of variables.


15A03 Vector spaces, linear dependence, rank, lineability
15A09 Theory of matrix inversion and generalized inverses
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