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James' space

In the area of mathematics known as functional analysis, James' space is an important example in the theory of Banach spaces and commonly serves as useful counterexample to general statements concerning the structure of general Banach spaces. The space was first introduced in 1950 in a short paper by Robert C. James.

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Properties

Canonical basisCodimensionL2
3 related topics

Definition

C0
1 related topics

Overview

Functional analysisBanach spacesRobert C. JamesDouble dualReflexive
6 related topics

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Overview

Definition

  • C0 Sequence space

Properties

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James' space

Nodes14
Edges13
Triples13
Avg. degree1.86
Density0.142857
Components1

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James' space

Top relations

related to Properties · 8
James' space → Banach, Furthermore, In, Its, James, Schauder, Source, The
related to Definition · 3
James' space → For, James, Let
is a · 2
James' space → Banach space.The canonical basis, important example in the theory of Banach spaces and commonly serves as useful counterexample to general statements concerning the structure of general Banach spaces

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Important terminology

space james' reflexive basis isomorphic double dual example serves banach isometrically furthermore unconditional displaystyle mathcal canonical every closed infinite-dimensional subspace

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
James' spaceis aimportant example in the theory of Banach spaces and commonly serves as useful counterexample to general statements concerning the structure of general Banach spaces0.90text
James' spaceis aBanach space.The canonical basis0.90text
James' spacerelated to DefinitionLet0.60section
James' spacerelated to DefinitionFor0.60section
James' spacerelated to DefinitionJames0.60section
James' spacerelated to PropertiesSource0.60section
James' spacerelated to PropertiesJames0.60section
James' spacerelated to PropertiesBanach0.60section
James' spacerelated to PropertiesThe0.60section
James' spacerelated to PropertiesSchauder0.60section
James' spacerelated to PropertiesFurthermore0.60section
James' spacerelated to PropertiesIts0.60section

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    Min side: 3
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