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Sequence space

In functional analysis and related areas of mathematics, a sequence space is a vector space whose elements are infinite sequences of real or complex numbers. Equivalently, it is a function space whose elements are functions from the natural numbers to the field ⁠ K {\displaystyle \mathbb {K} } ⁠ of real or complex numbers. The set of all such functions…

Products, Definition & Properties of ℓp spaces and the space c0

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Overview

Definition

Properties of ℓp spaces and the space c0

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Map overview Semantic statistics

Sequence space

Nodes97
Edges96
Triples9
Avg. degree1.98
Density0.020619
Components1

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Sequence space

Top relations

related to c, c0 and c00 · 4
Sequence space → Banach, Moreover, Since, The
is a · 2
Sequence space → closed subspace of, vector space whose elements are infinite sequences of real or complex numbers
related to Space of all sequences · 2
Sequence space → Let, The
see also · 1
Sequence space → Lp

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Important terminology

displaystyle textstyle space ell sequence mathbb sequences infty norm spaces subspace vector topology left right banach set operatorname linear elements

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Sequence spaceis avector space whose elements are infinite sequences of real or complex numbers0.90text
Sequence spaceis aclosed subspace of0.90text
Sequence spacerelated to c, c0 and c00The0.60section
Sequence spacerelated to c, c0 and c00Since0.60section
Sequence spacerelated to c, c0 and c00Moreover0.60section
Sequence spacerelated to c, c0 and c00Banach0.60section
Sequence spacerelated to Space of all sequencesLet0.60section
Sequence spacerelated to Space of all sequencesThe0.60section
Sequence spacesee alsoLp0.60section

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    Min side: 3
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