On the norms of polynomials of two adjoint projections and a shift |
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| Authors: | Naum Krupnik Yafim Spigel |
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| Institution: | (1) Dept. of Math. and CS, Bar-Ilan University, 52900 Ramat-Gan, Israel;(2) Holon Center for Technological Education, P.O.B. 305, 58102 Holon, Israel |
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| 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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| Keywords: | 47G10 |
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