M. S. Matveichuk, A. M. Ionova, “Positive projections as generators of <nobr>$J$</nobr>-projections of type (B)”, Lobachevskii J. Math., 2007, Volume 26,Pages <nobr>91

Positive projections as generators of $J$-projections of type (B)

M. S. Matveichuk^a, A. M. Ionova^b

^a Kazan State University
^b Ul'yanovsk State Pedagogical University

Abstract: Let $\mathcal A$ be a von Neumann $J$-algebra of type (B) acting in an indefinite metric space. The aim of the paper is to study $J$-projections from $\mathcal A$.

Keywords: quantum logic, Hilbert space, indefinite metric space, projection.

Submitted by: O. E. Tikhonov
Received: 18.06.2007

Language: English