Abstract
An operatorT∶V→V on a real inner product space is called complement preserving if, wheneverU is aT-invariant subspace ofV the orthogonal complementU ⊥ is alsoT-invariant. In this note we obtain some results on such operators.
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References
Curtis, C.W. and Reiner, I.,Methods of Representation Theory, With Applications to Finite Groups and Orders, Vol. 1, Wiley 1981.
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Nicholson, W.K., Varadarajan, K. Complement preserving operators. Period Math Hung 30, 225–232 (1995). https://doi.org/10.1007/BF01876621
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DOI: https://doi.org/10.1007/BF01876621