Erik Ivar Fredholm was a Swedish mathematician, born on 7 April 1866 and died on 17 August 1927, whose work on integral equations and operator theory foreshadowed the theory of Hilbert spaces. An integral equation is an equation in which the unknown function appears under an integral sign, and operator theory studies the transformations that act on spaces of functions. His results in this area, worked out before Hilbert spaces were formally defined, gave later analysts the model for how such equations behave.
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Source Erik Ivar Fredholm (Wikipedia)
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Source Fredholm alternative, Wikipedia
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1. Erik Ivar Fredholm (Wikipedia)
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was a Swedish mathematician
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7 April 1866
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He obtained his PhD at Uppsala University in 1898, under the supervision of Gösta Mittag-Leffler.
View the SourceFredholm alternative, Wikipedia
Proofs Credited: Fredholm Alternative, Lead paragraphQuote, Proofs Credited: Fredholm Alternative, Lead paragraph
In mathematics, the Fredholm alternative, named after Ivar Fredholm, is one of Fredholm's theorems and is a result in Fredholm theory. It may be expressed
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