@book{a469b8977fc14cc98b549b8f5a184ebf,
title = "A construction of generalized eigenprojections based on geometric measure theory",
abstract = "Let M denote a \$\textbackslash{}sigma\$-compact locally compact metric space which satisfies certain geometrical conditions. Then for each \$\textbackslash{}sigma\$-additive projection valued measure P on M there can be constructed a {"}canonical{"} Radon-Nikodym derivative \$\textbackslash{}Pi: \textbackslash{}alpha \textbackslash{}mapsto \textbackslash{}pi\_\textbackslash{}alpha\$, \$\textbackslash{}alpha \textbackslash{}in M\$, with respect to a suitable basic measure \$\textbackslash{}rho\$on M. The family \$(\textbackslash{}Pi\_\textbackslash{}alpha)\_\{\textbackslash{}alpha \textbackslash{}in M\}\$ consists of generalized eigenprojections related to the commutative von Neumann algebra generated by the projections \$P(\textbackslash{}Delta)\$, \$\textbackslash{}Delta\$ a Borel set of M.",
author = "\{Eijndhoven, van\}, S.J.L.",
year = "1985",
language = "English",
series = "Memorandum COSOR",
publisher = "Technische Hogeschool Eindhoven",
}