Vector Measures on the Logic of J-projections of a Krein Space

Abstract

Let H be a Hilbert space with an inner product (., .) H . In Jajte, R., and Paszkiewicz, A. (1978, Vector measure on the closed subspaces of a Hilbert space, Studia Mathematica 63, 229-251), the H-measure on the logic of all orthogonal projections on H was studied. We examine the H-measure on the hyperbolic logic of all J -projections on a Krein space.