Abstract
Unless otherwise indicated, in this chapter X is a metrizable topological space, and P (X) (or simply P) is the set of all probability measures on the Borel sets B of X. As usual, C b (X) denotes the Banach lattice of all bounded continuous real functions on X. The reason we focus on probability measures is that every finite measure is the difference of measures each of which is a nonnegative multiple of a probability measure. That is, the probability measures span the space of all signed measures of bounded variation.
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© 1994 Springer-Verlag Berlin Heidelberg
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Aliprantis, C.D., Border, K.C. (1994). Probability measures on metrizable spaces. In: Infinite Dimensional Analysis. Studies in Economic Theory, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03004-2_12
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DOI: https://doi.org/10.1007/978-3-662-03004-2_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-03006-6
Online ISBN: 978-3-662-03004-2
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