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 -