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The kernel of Fock
representations of Wick algebras with braided operator of
coefficients
Palle E. T. Jørgensen, Daniil P. Proskurin and Yuriĭ S. Samoĭlenko |
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Vol. 198 (2001), No. 1, 109–123
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Abstract |
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It is shown that the kernel of the Fock representation of a certain Wick algebra with braided operator of coefficients 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. |
Milestones
Received: 25 May 1999
Published: 1 March 2001
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Authors |
| Palle E. T. Jørgensen | |
| Department of Mathematics The University of Iowa Iowa City, Iowa 52242-1419 |
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| Daniil P. Proskurin | |
| Institute of Mathematics Ukrainian National Academy of Sciences Tereshchinkivs’ka, 3 Kiev, 252601 Ukraine |
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| Yuriĭ S. Samoĭlenko | |
| Institute of Mathematics Ukrainian National Academy of Sciences Tereshchinkivs’ka, 3 Kiev, 252601 Ukraine |
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