In operator theory, a bounded operator T on a Hilbert space is said to be nilpotent if T = 0 for some n. It is said to be quasinilpotent or topologically nilpotent if its spectrum σ = {0}.
In mathematics, more specifically ring theory, an ideal I of a ring R is said to be a nilpotent ideal if there exists a natural number k such that I...
In mathematical physics, the almost Mathieu operator arises in the study of the quantum Hall effect. It is given by acting as a self-adjoint operator on the Hilbert space...
In number theory, the diamond operators 〈d〉 are operators acting on the space of modular forms for the group Γ1, given by the action of a matrix in Γ0 where...
In computer programming, scope is an enclosing context where values and expressions are associated. The scope resolution operator helps to identify and specify the context to which an identifier refers,...
In mathematics, in the area of functional analysis and operator theory, the Volterra operator, named after Vito Volterra, is a bounded linear operator on the space L of complex-valued square-integrable...
In operator theory, a bounded operator T: X → Y between normed vector spaces X and Y is said to be a contraction if its operator norm ||T || ≤ 1. This...
