Information | |
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has gloss | eng: 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 # Scalar multiplication in V is continuous with respect to d and the standard metric on R or C. # Addition in V is continuous with respect to d. # The metric is translation-invariant, i.e. d(x+a, y+a) = d(x, y) for all x, y and a in V # The metric space (V, d) is complete |
lexicalization | eng: F-space |
instance of | e/Topological vector space |
Meaning | |
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Portuguese | |
has gloss | por: Em matemática, uma espaço vetorial topológico é dito um F-espaço se sua topologia é induzida por uma métrica invariante completa. |
lexicalization | por: F-espaço |
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