Fredholm alternative

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• Fredholm alternative — In mathematics, the Fredholm alternative, name 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… …   Wikipedia

• Fredholm's theorem — In mathematics, Fredholm s theorems are a set of celebrated results of Ivar Fredholm in the Fredholm theory of integral equations. There are several closely related theorems, which may be stated in terms of integral equations, in terms of linear… …   Wikipedia

• Fredholm theory — In mathematics, Fredholm theory is a theory of integral equations. In the narrowest sense, Fredholm theory concerns itself with the solution of the Fredholm integral equation. In a broader sense, the abstract structure of Fredholm s theory is… …   Wikipedia

• Fredholm operator — In mathematics, a Fredholm operator is an operator that arises in the Fredholm theory of integral equations. It is named in honour of Erik Ivar Fredholm. A Fredholm operator is a bounded linear operator between two Banach spaces whose range is… …   Wikipedia

• FREDHOLM (I.) — FREDHOLM IVAR (1866 1927) Mathématicien suédois dont le nom reste attaché à la théorie des équations intégrales. Né à Stockholm, Fredholm obtint son doctorat ès sciences à Uppsala en 1898, puis il fut attaché comme maître de conférences de… …   Encyclopédie Universelle

• Erik Ivar Fredholm — Infobox Scientist name = Erik Ivar Fredholm box width = image width =150px caption = Erik Ivar Fredholm birth date = April 7, 1866 birth place = death date = August 17, 1927 death place = residence = citizenship = nationality = Swedish ethnicity …   Wikipedia

• Analytic Fredholm theorem — In mathematics, the analytic Fredholm theorem is a result concerning the existence of bounded inverses for a family of bounded linear operators on a Hilbert space. It is the basis of two classical and important theorems, the Fredholm alternative… …   Wikipedia

• Fredholmsche Alternative — In der Mathematik ist die nach Ivar Fredholm benannte Fredholm sche Alternative ein Resultat der Fredholmtheorie. Sie kann auf verschiedene Arten ausgedrückt werden: als Theorem der linearen Algebra, als ein Theorem über Integralgleichungen oder… …   Deutsch Wikipedia

• Compact operator — In functional analysis, a branch of mathematics, a compact operator is a linear operator L from a Banach space X to another Banach space Y, such that the image under L of any bounded subset of X is a relatively compact subset of Y. Such an… …   Wikipedia

• List of mathematics articles (F) — NOTOC F F₄ F algebra F coalgebra F distribution F divergence Fσ set F space F test F theory F. and M. Riesz theorem F1 Score Faà di Bruno s formula Face (geometry) Face configuration Face diagonal Facet (mathematics) Facetting… …   Wikipedia

• Kernel (matrix) — In linear algebra, the kernel or null space (also nullspace) of a matrix A is the set of all vectors x for which Ax = 0. The kernel of a matrix with n columns is a linear subspace of n dimensional Euclidean space.[1] The dimension… …   Wikipedia