On the norms of polynomials of two adjoint projections and a shift

Authors
Krupnik, N Spigel, Y
Citation
N. Krupnik et Y. Spigel, On the norms of polynomials of two adjoint projections and a shift, INTEG EQ OP, 35(2), 1999, pp. 198-208
Citations number
6
Categorie Soggetti
Mathematics
Journal title
INTEGRAL EQUATIONS AND OPERATOR THEORY
ISSN journal
0378620X → ACNP
Volume
35
Issue
2
Year of publication
1999
Pages
198 - 208
Database
ISI
SICI code
0378-620X(199910)35:2<198:OTNOPO>2.0.ZU;2-X
Abstract
Let P be a projection (non-selfadjoint in general), and V a selfadjoint inv olution 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 \\(P, P-,V)\\ depend only on \\P\\. A method of calculation of the norms \\F(P, P-,V)IJ for such polynomials is given. For polynomials F(P, P*) this proble m was investigated in [KMF],[FKM].