Finitely additive measures and complementability of Lipschitz-free spaces
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DOI: 10.1007/s11856-019-1829-y
Abstract: We prove in particular that the Lipschitz-free space over a finite-dimensional normed space is complemented in its bidual. For Euclidean spaces the norm of the respective projection is 1. As a tool to obtain the… read more here.
Keywords: additive measures; lipschitz free; free spaces; complementability lipschitz ... See more keywords
General Markov Chains: Dimension of the Space of Invariant Finitely Additive Measures and Their Ergodicity—Problematic Examples
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DOI: 10.3390/math13223690
Abstract: This study considers general Markov chains (MCs) with discrete time in an arbitrary phase space. The transition function of the MC generates two operators: T, which acts on the space of measurable functions, and A,… read more here.
Keywords: general markov; space; additive measures; finitely additive ... See more keywords