Springer Online Journal Archives 1860-2000
Abstract LetP be a projection (non-selfadjoint in general), andV a selfadjoint involution acting in a Hilbert spaceH. In this paper the polynomialsF(X, Y, Z) of three non-commuting variables are described such that the norms ‖F(P, P *,V)‖ depend only on ‖P‖. A method of calculation of the norms ‖F(P, P *,V)‖ for such polynomials is given. For polynomialsF(P, P *) this problem was investigated in [KMF], [FKM].
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