On fixed points of Lüders operation. (English) Zbl 1283.47056
Summary: In this paper, we give a concrete example of a Lüders operation \(L_A\) with \(n=3\), such that \(L_A(B)=B\) does not imply that \(B\) commutes with all \(E_1, E_2\), and \(E_3\) in \(A\), this example answers an open problem of Professor Gudder. {
©2009 American Institute of Physics}
©2009 American Institute of Physics}
MSC:
| 47H10 | Fixed-point theorems |
| 81R15 | Operator algebra methods applied to problems in quantum theory |
References:
| [1] | DOI: 10.1063/1.1519669 · Zbl 1060.81009 · doi:10.1063/1.1519669 |
| [2] | DOI: 10.1016/S0375-9601(98)00704-X · doi:10.1016/S0375-9601(98)00704-X |
| [3] | DOI: 10.1007/s10773-005-8015-1 · Zbl 1110.81014 · doi:10.1007/s10773-005-8015-1 |
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