Vol. 198, No. 1, 2001

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Palle E. T. Jørgensen & Daniil P. Proskurin & Yuriĭ S. Samoĭlenko

Abstract

It is shown that the kernel of the Fock representation of a certain Wick algebra with braided operator of coeficients T, ||T ||≤ 1, coincides with the largest quadratic Wick ideal. Improved conditions on the operator T for the Fock inner product to be strictly positive are given.

Authors
Palle E. T. Jørgensen
Department of Mathematics
The University of Iowa
Iowa City, Iowa 52242-1419
Daniil P. Proskurin
Institute of Mathematics
Ukrain­i­an National Academy of Sciences
Tereshchinkivs'ka, 3
Kiev, 252601
Ukraine
Yuriĭ S. Samoĭlenko
Institute of Mathematics
Ukrain­i­an National Academy of Sciences
Tereshchinkivs'ka, 3
Kiev, 252601
Ukraine