Vector Measures on the Logic of <Emphasis Type="Italic">J</Emphasis>-projections of a Krein Space期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Vector Measures on the Logic of <Emphasis Type="Italic">J</Emphasis>-projections of a Krein Space

Authors:	Email author" target="_blank">Marjan?Matvejchuk Email author Anna?Ionova

Institution:	(1) Kazan State University, Kremlevskaja str., 420008 Kazan, Russia;(2) Ulyanovsk State Pedagogik University, Tolstogo str. 87, Apartm 33, 423700 Ulyanovsk, Russia;(3) Kazan, Czechov str. 31, Apartm 109, 420043, Russia

Abstract:	Let $\cal H$ be a Hilbert space with an inner product $(.,.)_{\cal H}$ . In Jajte, R., and Paszkiewicz, A. (1978, Vector measure on the closed subspaces of a Hilbert space, Studia Mathematica 63, 229–251), the $\cal H$ -measure on the logic of all orthogonal projections on $\cal H$ H was studied. We examine the $\cal H$ -measure on the hyperbolic logic of all J-projections on a Krein space. PACS: 03.65.Ta, 03.65.Db, 03.65.Ca.

Keywords:	quantum logic Hilbert space indefinite metric space projection measure
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