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. © Springer Science + Business Media, Inc. 2005.