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Bounded operator

In functional analysis and operator theory, a bounded linear operator is a special kind of linear transformation that is particularly important in infinite dimensions. In finite dimensions, a linear transformation takes a bounded set to another bounded set (for example, a rectangle in the plane goes either to a parallelogram or bounded line segment when…

Art, In topological vector spaces & Examples

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In normed vector spaces

In Hilbert spaces

In topological vector spaces

Examples

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Bounded operator

Nodes62
Edges61
Triples57
Avg. degree1.97
Density0.032258
Components1

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Bounded operator

Top relations

related to Bibliography · 27
Bounded operator → Albert, Applications, Beckenstein, Boca Raton, Bounded, CRC Press, Dover Publications, Edward, EMS Press, Encyclopedia, Erwin, FL, Inc, Introductory Functional Analysis, ISBN, Kreyszig, Lawrence, Mathematics, Mineola, Modern Methods
related to Examples · 13
Bounded operator → Any, Delta, For, If, Its, Lf, Lp, Many, On, Sobolev, The, The Laplace, This
see also · 8
Bounded operator → Bounded, Branch, Function, Generalization, Length, Linear, Mathematical, Measure
related to Continuity and boundedness · 7
Bounded operator → Every, However, In, Lipschitz, This, TVS, TVSs
related to In normed vector spaces · 2
Bounded operator → Every, Lipschitz

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Important terminology

bounded displaystyle linear operator continuous spaces space normed vector topological every norm operators origin leq subset called domain exists map

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bounded operatorrelated to BibliographyBounded0.60section
Bounded operatorrelated to BibliographyEncyclopedia0.60section
Bounded operatorrelated to BibliographyMathematics0.60section
Bounded operatorrelated to BibliographyEMS Press0.60section
Bounded operatorrelated to BibliographyKreyszig0.60section
Bounded operatorrelated to BibliographyErwin0.60section
Bounded operatorrelated to BibliographyIntroductory Functional Analysis0.60section
Bounded operatorrelated to BibliographyApplications0.60section
Bounded operatorrelated to BibliographyWiley0.60section
Bounded operatorrelated to BibliographyLawrence0.60section
Bounded operatorrelated to BibliographyBeckenstein0.60section
Bounded operatorrelated to BibliographyEdward0.60section

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