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F-space

In functional analysis, an F-space is a vector space X {\displaystyle X} over the real or complex numbers together with a metric d : X × X → R {\displaystyle d:X\times X\to \mathbb {R} } such that

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Map overview Semantic statistics

F-space

Nodes43
Edges42
Triples28
Avg. degree1.95
Density0.046512
Components1

How this topic connects Entity context

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F-space

Top relations

see also · 11
F-space → Banach, Euclidean, Generalization, Hilbert, LB-spaceLF-space, Locally, Metric, Normed, Structure, Topological, Type
related to Example 2 · 6
F-space → Banach, F-spaces, In, Let, Moreover, Taylor
related to Examples · 6
F-space → All Banach, Banach, F-spaces, Fréchet, In, The Lp
related to Related properties · 3
F-space → Banach, Fréchet, The
is a · 1
F-space → vector space X
related to Example 1 · 1
F-space → It

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Important terminology

displaystyle space vector metric topological complete isbn oclc spaces continuous fréchet complex metrizable linear analysis mathbb locally convex f-norm authors

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
F-spaceis avector space X0.90text
F-spacerelated to Example 1It0.60section
F-spacerelated to Example 2Let0.60section
F-spacerelated to Example 2Taylor0.60section
F-spacerelated to Example 2F-spaces0.60section
F-spacerelated to Example 2In0.60section
F-spacerelated to Example 2Banach0.60section
F-spacerelated to Example 2Moreover0.60section
F-spacerelated to ExamplesAll Banach0.60section
F-spacerelated to ExamplesFréchet0.60section
F-spacerelated to ExamplesF-spaces0.60section
F-spacerelated to ExamplesIn0.60section

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    Min side: 3
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