Classification of linear operators satisfying (Au, v) = (u, A(r)v) or (Au, A(r)v) = (u, v) on a vector space with indefinite scalar product

Borges, VS; Kashuba, I; Sergeichuk, VV; Sodre, EV; Zaidan, A

Sergeichuk, VV (corresponding author), Inst Math, Tereshchenkivska 3, UA-3 Kiev, Ukraine.

LINEAR ALGEBRA AND ITS APPLICATIONS, 2021; 611 (): 118

Abstract

We classify all linear operators A : V -> V satisfying (Au, v) = (u, A(r)v) and all linear operators satisfying (Au, A(r)v) = (u, v) with r = 2, 3,......

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