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Schauder basis

In mathematics, a Schauder basis or countable basis is similar to the usual (Hamel) basis of a vector space; the difference is that Hamel bases use linear combinations that are finite sums, while for Schauder bases they may be infinite sums. This makes Schauder bases more suitable for the analysis of infinite-dimensional topological vector spaces…

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Unconditionality

Schauder bases and duality

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Schauder basis

Nodes69
Edges68
Triples34
Avg. degree1.97
Density0.028986
Components1

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Schauder basis

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related to Definitions · 12
Schauder basis → An, As, Banach, Hamel, Hilbert, In, Let, Note, Schauder, The, They, Unlike
related to Properties · 7
Schauder basis → Banach, It, Let, Pn, Schauder, The, When
related to Bases for spaces of operators · 5
Schauder basis → For, Hilbert, If, Schauder, The
related to Examples · 4
Schauder basis → In, Kronecker, Schauder, The
is a · 3
Schauder basis → limit of Pn, linearly ordered set rather than a sequence, sequence
related to Unconditionality · 3
Schauder basis → For, Schauder, Unconditionality

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Important terminology

basis schauder space banach every bases vector sequence system spaces linear mathematics separable c0 bn lp bounded unit set norm

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SubjectPredicateObjectConfidenceSrc
Schauder basisis asequence0.90text
Schauder basisis alinearly ordered set rather than a sequence0.90text
Schauder basisis alimit of Pn0.90text
Schauder basisrelated to Bases for spaces of operatorsThe0.60section
Schauder basisrelated to Bases for spaces of operatorsHilbert0.60section
Schauder basisrelated to Bases for spaces of operatorsSchauder0.60section
Schauder basisrelated to Bases for spaces of operatorsFor0.60section
Schauder basisrelated to Bases for spaces of operatorsIf0.60section
Schauder basisrelated to DefinitionsLet0.60section
Schauder basisrelated to DefinitionsSchauder0.60section
Schauder basisrelated to DefinitionsThe0.60section
Schauder basisrelated to DefinitionsBanach0.60section

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