Condescending 发表于 2025-3-23 13:09:41
Verband der Seifenfabrikanten Deutschlands special case. In this chapter we will develop basic facts about JBW-algebras. We begin with the definition and the relevant topologies. Then we introduce an abstract notion of range projection, and a spectral theorem for JBW-algebras, derived from the spectral theorem for monotone complete.(X)(A 39阻塞 发表于 2025-3-23 15:05:46
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Einige Cephalothoracopagi bei Säugetierenat there is one crucial difference compared to the situation for C*- algebras: not every JB-algebra admits such a concrete representation. The “Gelfand–Naimark” type theorem (Theorem 4.19) states that there is a certain exceptional ideal, and modulo that ideal every JB-algebra admits a concrete reprOratory 发表于 2025-3-23 23:27:24
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,Einige Probleme des Zivilprozeßrechts, be strengthened to characterize the state spaces of Jordan and C.-algebras. The first part of this program is to establish a satisfactory spectral theory and functional calculus. Here the guiding idea is to replace projections.by “projective units”.P1 determined by “general compressions”.defined by显微镜 发表于 2025-3-24 09:56:08
https://doi.org/10.1007/978-3-663-04789-6 that each exposed face of the distinguished base.of.is projective. If.,.is such a pair, then we will say they satisfy.This hypothesis is satisfied when A is the self-adjoint part of a von Neumann algebra and.is the self -adjoint part of its predual, and also when A is a JBW-algebra and V is its pre和谐 发表于 2025-3-24 13:01:53
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https://doi.org/10.1007/978-3-322-98969-7In this chapter we will discuss properties of the normal state space of JBW-algebras. Since every JB-algebra state space is also the normal state space of a JBW-algebra (Corollary 2.61), these properties also apply to JB-algebra state spaces.