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

Naum Krupnik, Yafim Spigel, H. Neidhardt, V. A. Zagrebnov

Research output: Contribution to journalArticlepeer-review

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Abstract

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].

Original languageEnglish
Pages (from-to)198-208
Number of pages11
JournalIntegral Equations and Operator Theory
Volume35
Issue number2
DOIs
StatePublished - Oct 1999

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