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Hans Günzler 《Rendiconti del Circolo Matematico di Palermo》2005,54(1):5-36
For the finitely additive case approximate Radon-Nikodym representations are obtained in the setting of Riesz algebras, complementing
and generalizing results of Bochner [4], Fefferman [10], de Amo, Chitescu and Díaz Carrillo [1]. Furthermore the possible
relations between the various spaces which appear here are given, answering a question of [1]. Various examples show that
our results are sharp, there also the class of approximately representable functionals is explicitly characterized, a partial
answer to another question of [1]. Finally some open questions are listed. 相似文献
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Benjamin Steinberg 《Journal of Algebraic Combinatorics》2010,31(1):83-109
Let us say that a Cayley graph Γ of a group G of order n is a Černy Cayley graph if every synchronizing automaton containing Γ as a subgraph with the same vertex set admits a synchronizing
word of length at most (n−1)2. In this paper we use the representation theory of groups over the rational numbers to obtain a number of new infinite families
of Černy Cayley graphs. 相似文献
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We show that for every sequence \({(p_n)_{n\in\mathbb{N}}}\) with 1 ≤ p n ≤ 2 there exists an \({\mathcal{L}_1}\) -space with the Radon-Nikodým containing an isomorphic copy of \({\ell_1(\ell_{p_n})}\) . 相似文献