On column and null spaces of functions of a pair of oblique projectors |
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| Authors: | Oskar Maria Baksalary Götz Trenkler |
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| Institution: | 1. Faculty of Physics , Adam Mickiewicz University , ul. Umultowska 85, PL 61-614 Poznań , Poland obaksalary@gmail.com;3. Department of Statistics , Dortmund University of Technology , Vogelpothsweg 87, D-44221 Dortmund , Germany |
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| Abstract: | A number of characterizations involving column and null spaces of various functions of a pair of oblique projectors are established. Particular attention is paid to properties of a product of the two projectors, but other functions of the pair (such as sum, difference or sum and difference of products) are considered as well. In many cases, the results obtained generalize those already known to be valid for orthogonal projectors. |
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| Keywords: | idempotent matrix range rank commutativity |
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