Construct · 1 fields · 1 citations

Fredholm alternative: a standalone construct

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Functional analysis

for compact perturbations of the identity, either the equation is uniquely solvable for all data or the homogeneous equation has nontrivial solutions.

In functional analysis, Fredholm alternative refers to for compact perturbations of the identity, either the equation is uniquely solvable for all data or the homogeneous equation has nontrivial solutions. This meaning comes from Fredholm (1903) in Acta Mathematica.[1]

Unit
Recovery means
Measured by

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Nearby constructs

functional analysis1 fields · 1 citationsanchor · a standalone construct identity6 fields · 14 citationsjingle · one name, six constructs

References

Fredholm, I. (1903). Sur une classe d’équations fonctionnelles. Acta Mathematica, 27(0), 365-390. https://doi.org/10.1007/bf02421317

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