finite-dimensional operator
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Finite rank operator — In functional analysis, a finite rank operator is a bounded linear operator between Banach spaces whose range is finite dimensional. Finite rank operators on a Hilbert space A canonical form Finite rank operators are matrices (of finite size)… … Wikipedia
Finite dimensional von Neumann algebra — In mathematics, von Neumann algebras are self adjoint operator algebras that are closed under a chosen operator topology. When the underlying Hilbert space is finite dimensional, the von Neumann algebra is said to be a finite dimensional von… … Wikipedia
Dimensional operator — In mathematics, specifically set theory, a dimensional operator on a set E is a function from the subsets of E to the subsets of E. Definition If the power set of E is denoted P(E) then a dimensional operator on E is a map that satisfies the… … Wikipedia
Approximately finite dimensional C*-algebra — In C* algebras, an approximately finite dimensional, or AF, C* algebra is one that is the inductive limit of a sequence of finite dimensional C* algebras. Approximate finite dimensionality was first defined and described combinatorially by… … Wikipedia
Approximately finite-dimensional — In operator algebras, an algebra is said to be approximately finite dimensional if it contains an increasing sequence of finite dimensional subalgebras that is dense. One can consider*Approximately finite dimensional C* algebras, or*Approximately … Wikipedia
Finite element method — The finite element method (FEM) (sometimes referred to as finite element analysis) is a numerical technique for finding approximate solutions of partial differential equations (PDE) as well as of integral equations. The solution approach is based … Wikipedia
Operator (mathematics) — This article is about operators in mathematics. For other uses, see Operator (disambiguation). In basic mathematics, an operator is a symbol or function representing a mathematical operation. In terms of vector spaces, an operator is a mapping… … Wikipedia
Operator norm — In mathematics, the operator norm is a means to measure the size of certain linear operators. Formally, it is a norm defined on the space of bounded linear operators between two given normed vector spaces. Contents 1 Introduction and definition 2 … Wikipedia
Operator K-theory — In mathematics, operator K theory is a variant of K theory on the category of Banach algebras (In most applications, these Banach algebras are C* algebras). Its basic feature that distinguishes it from algebraic K theory is that it has a Bott… … Wikipedia
Finite difference method — In mathematics, finite difference methods are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives. Intuitive derivation Finite difference methods approximate the … Wikipedia
Compact operator on Hilbert space — In functional analysis, compact operators on Hilbert spaces are a direct extension of matrices: in the Hilbert spaces, they are precisely the closure of finite rank operators in the uniform operator topology. As such, results from matrix theory… … Wikipedia
