For some time now, conformal field theories in two dimensions have been studied as integrable systems. Much of the success of these studies is related to the existence of an operator algebra of the ...

Abstract— We present Trinfinity, a novel Tri‐Crown mathematical framework that unifies algebraic and computational principles through a triple‑stack operator algebra and a multi-layer ADEPT stack ...

Herein we study conformal vectors of a Z -graded vertex algebra of (strong) CFT type. We prove that the full vertex algebra automorphism group transitively acts on the set of the conformal vectors of ...

This is a preview. Log in through your library . Abstract Given two (or n) isometries on a Hilbert space 𝓗, such that their ranges are mutually orthogonal, one can use them to generate a C*-algebra.

The spectrum of the canonical operator in the noncommutative 2-torus Tθ depending on the parameter θ ∈ [0,1] © Douglas Hofstadter's butterfly. Licensed under ...

The study of Banach spaces and operator algebras constitutes a central theme in modern functional analysis, providing a rigorous framework through which complex systems can be understood. Banach ...

Abstract: This paper presents the development of an operator algebra for differential systems which is useful in that it allows the transmittance methods commonly applied to linear stationary systems ...

0. Abstract This document rigorously defines and expands the domain of polygonal operator algebras, particularly the Octopod and Arachnopod morphodynamic families. These systems represent a ...

An operator algebra is an algebra of continuous linear operators on a Hilbert space. Such algebras can be associated to a variety of problems in mathematics and mathematical physics. The study of ...