Completeness of Inner Product Spaces and G. Cattaneo

被引:0
|
作者
Buhagiar, David [3 ]
Chetcuti, Emmanuel [3 ]
Dvurecenskij, Anatolij [1 ,2 ]
机构
[1] Slovak Acad Sci, Inst Math, SK-81473 Bratislava, Slovakia
[2] Palacky Univ, Dept Algebra & Geometry, Fac Sci, CZ-77146 Olomouc, Czech Republic
[3] Univ Malta, Dept Math, Fac Sci, Msida 2080, Malta
关键词
ORTHOGONALLY CLOSED SUBSPACES; QUASI-SPLITTING SUBSPACES; CRITERION; STATES; LOGIC;
D O I
10.3233/FI-2012-638
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
In the Eighties G. Cattaneo contributed to Hilbert space quantum mechanics models using the family of splitting subspaces of an inner product space in order to find completeness criteria. In this paper we show how that theory was developed in the last 25 years into a rich theory which has a close connection to quantum information. G. Cattaneo also posed an open problem which was solved only this year.
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页码:15 / 24
页数:10
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