Fredholm Alternative
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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 in several ways, as a theorem of linear algebra, a theorem of integral equations, or as a theorem on Fredholm operators. Part of the result states that a non-zero complex number in the spectrum of a compact operator is an eigenvalue.Results on the Fredholm operator generalize these results to vector spaces of infinite dimensions, Banach spaces.…mehr

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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 in several ways, as a theorem of linear algebra, a theorem of integral equations, or as a theorem on Fredholm operators. Part of the result states that a non-zero complex number in the spectrum of a compact operator is an eigenvalue.Results on the Fredholm operator generalize these results to vector spaces of infinite dimensions, Banach spaces.