In this paper we characterize a broad class of semilinear surjective operators given by the following formula where Z are Hilbert spaces, and is a suitable nonlinear function. First, we give a ...

Some people use the word range to refer to one of these two concepts, but since different people use it for different things we will only say image and codomain in MATH0005. We say f is a bijection if ...

Some people use the word range to refer to one of these two concepts, but since different people use it for different things we will only use the terms image and codomain in MATH0005. We say f is a ...

Let $I = \lbrack 0, 1 \rbrack, \mathscr{B} =$ Lebesgue measurable subsets of [0, 1], and let $\lambda$ denote the Lebesgue measure on $(I, \mathscr{B})$. Let $\tau: I ...

A program to check if a function is injective or surjective given the domain, codomain, and input with its output. Meant to work with raw data and is not meant to use mathematical functions, as ...