Bounded operator
LINEAR TRANSFORMATION L BETWEEN NORMED VECTOR SPACES X AND Y FOR WHICH THE RATIO OF THE NORM OF L(V) TO THAT OF V IS BOUNDED BY THE SAME NUMBER, OVER ALL NON-ZERO VECTORS V IN X
Bounded linear map; Bounded linear operator; Continuous operator; Bounded linear function; Bounded operators; Bounded linear functional; Bounded linear transform; Bounded Linear Form; Bonded linear operator
In functional analysis and operator theory, a bounded linear operator is a linear transformation L : X \to Y between topological vector spaces (TVSs) X and Y that maps bounded subsets of X to bounded subsets of Y.