Classification of linear operators satisfying (Au,v)=(u,Av) or (Au,Av)=(u,v) on a vector space with indefinite scalar product
نویسندگان
چکیده
We classify all linear operators $A:V\to V$ satisfying $(Au,v)=(u,A^rv)$ and $(Au,A^rv)=(u,v)$ with $r=2,3,\dots$ on a complex, real, or quaternion vector space scalar product given by nonsingular symmetric, skew-symmetric, Hermitian, skew-Hermitian form.
منابع مشابه
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2021
ISSN: ['1873-1856', '0024-3795']
DOI: https://doi.org/10.1016/j.laa.2020.12.005