# Infinite Dimensional Orthogonal Preserving Quadratic Stochastic Operators

## TL;DR

This paper provides a comprehensive analysis of infinite dimensional orthogonal preserving quadratic stochastic operators, including their canonical forms, properties, and fixed points, advancing the theoretical understanding of these operators.

## Contribution

It offers a full description of OP QSOs in terms of canonical forms and heredity coefficients, which is a novel characterization in the field.

## Key findings

- Characterization of OP QSOs in canonical form
- Analysis of fixed points of OP QSOs
- Properties of infinite dimensional OP QSOs

## Abstract

In the present paper, we study infinite dimensional orthogonal preserving quadratic stochastic operators (OP QSO). A full description of OP QSOs in terms of their canonical form and heredity coefficient's values is provided. Furthermore, some properties of OP QSOs and their fixed points are studied.