F-space

In functional analysis, an F-space is a vector space V over the real or complex numbers together with a metric d : V × V → R so that

Some authors call these spaces Fréchet spaces, but usually the term is reserved for locally convex F-spaces. The metric may or may not necessarily be part of the structure on an F-space; many authors only require that such a space be metrizable in a manner that satisfies the above properties.

单词	F space
释义	F space 英语百科 F-space In functional analysis, an F-space is a vector space V over the real or complex numbers together with a metric d : V × V → R so that Some authors call these spaces Fréchet spaces, but usually the term is reserved for locally convex F-spaces. The metric may or may not necessarily be part of the structure on an F-space; many authors only require that such a space be metrizable in a manner that satisfies the above properties.
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F space

F-space