TY - JOUR
T1 - On the norms of polynomials of two adjoint projections and a shift
AU - Krupnik, Naum
AU - Spigel, Yafim
AU - Neidhardt, H.
AU - Zagrebnov, V. A.
PY - 1999/10
Y1 - 1999/10
N2 - Let P be a projection (non-selfadjoint in general), and V a selfadjoint involution acting in a Hilbert space H. In this paper the polynomials F(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 polynomials F(P, P*) this problem was investigated in [KMF],[FKM].
AB - Let P be a projection (non-selfadjoint in general), and V a selfadjoint involution acting in a Hilbert space H. In this paper the polynomials F(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 polynomials F(P, P*) this problem was investigated in [KMF],[FKM].
UR - http://www.scopus.com/inward/record.url?scp=0007454749&partnerID=8YFLogxK
U2 - 10.1007/bf01196383
DO - 10.1007/bf01196383
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AN - SCOPUS:0007454749
SN - 0378-620X
VL - 35
SP - 198
EP - 208
JO - Integral Equations and Operator Theory
JF - Integral Equations and Operator Theory
IS - 2
ER -