منابع مشابه
Embedding measure spaces
For a given measure space $(X,{mathscr B},mu)$ we construct all measure spaces $(Y,{mathscr C},lambda)$ in which $(X,{mathscr B},mu)$ is embeddable. The construction is modeled on the ultrafilter construction of the Stone--v{C}ech compactification of a completely regular topological space. Under certain conditions the construction simplifies. Examples are given when this simplification o...
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Inner-product operators, often referred to as kernels in statistical learning, define a mapping from some input space into a feature space. The focus of this paper is the construction of biologically-motivated kernels for cortical activities. The kernels we derive, termed Spikernels, map spike count sequences into an abstract vector space in which we can perform various prediction tasks. We dis...
متن کاملembedding measure spaces
for a given measure space $(x,{mathscr b},mu)$ we construct all measure spaces $(y,{mathscr c},lambda)$ in which $(x,{mathscr b},mu)$ is embeddable. the construction is modeled on the ultrafilter construction of the stone--v{c}ech compactification of a completely regular topological space. under certain conditions the construction simplifies. examples are given when this simplification o...
متن کاملBANACH SPACES EMBEDDING ISOMETRICALLY INTO Lp WHEN 0<p<l
For 0 < p < 1 we give examples of Banach spaces isometrically embedding into Lp but not into any Lr with p < r < 1.
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 ...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1976
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-93-1-71-80