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mathematics (specifically linear algebra, operator theory, and functional analysis) as well as physics, a linear operator A {\displaystyle A} acting

continuous linear operator or continuous linear mapping is a continuous linear transformation between topological vector spaces. An operator between two

In mathematics, more specifically in functional analysis, a positive linear operator from an preordered vector space ( X , ≤ ) {\displaystyle (X,\leq )}

It also defines a linear operator on the space of all smooth functions (a linear operator is a linear endomorphism, that is, a linear map with the same

In functional analysis and operator theory, a bounded linear operator is a special kind of linear transformation that is particularly important in infinite

targets Positive linear operator – Concept in functional analysis Schaefer & Wolff 1999, pp. 225–229. Murphy, Gerard. "3.3.4". C*-Algebras and Operator Theory

In functional analysis, a branch of mathematics, a compact operator is a linear operator T : X → Y {\displaystyle T:X\to Y} , where X , Y {\displaystyle

"operator" should be understood as "linear operator" (as in the case of "bounded operator"); the domain of the operator is a linear subspace, not necessarily the

the object. A projection on a vector space V {\displaystyle V} is a linear operator P : V → V {\displaystyle P\colon V\to V} such that P 2 = P {\displaystyle

time series analysis, the shift operator is called the lag operator. Shift operators are examples of linear operators, important for their simplicity