منابع مشابه
Embedding normed linear spaces into $C(X)$
It is well known that every (real or complex) normed linear space $L$ is isometrically embeddable into $C(X)$ for some compact Hausdorff space $X$. Here $X$ is the closed unit ball of $L^*$ (the set of all continuous scalar-valued linear mappings on $L$) endowed with the weak$^*$ topology, which is compact by the Banach--Alaoglu theorem. We prove that the compact Hausdorff space $X$ can ...
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HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau...
متن کاملembedding normed linear spaces into $c(x)$
it is well known that every (real or complex) normed linear space $l$ is isometrically embeddable into $c(x)$ for some compact hausdorff space $x$. here $x$ is the closed unit ball of $l^*$ (the set of all continuous scalar-valued linear mappings on $l$) endowed with the weak$^*$ topology, which is compact by the banach--alaoglu theorem. we prove that the compact hausdorff space $x$ can ...
متن کاملBanach Spaces Embedding Into
Our main result in this paper is that a Banach space X embeds into L, if and only if l~(X) embeds into Lo; more generally if 1 _-< p < 2, X embeds into Lp if and only if lp (X) embeds into L~,.
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The extremely low latencies and high bandwidth results achievable with the Scalable Coherent Interface (SCI) at lowest level encourages its integration into existing Message Passing Environments (MPE's). In combination with Network of Workstations, it can be seen as an alternative for traditional parallel computing with tightly coupled processors with comparable performance at low cost. This pa...
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ژورنال
عنوان ژورنال: IEEE Transactions on Software Engineering
سال: 2013
ISSN: 0098-5589,1939-3520
DOI: 10.1109/tse.2012.85