On the spectra of generalized Fibonacci and Fibonacci-like operators

TL;DR

This paper investigates the spectral properties of generalized Fibonacci and Fibonacci-like operators within Banach space $l^1$, providing insights relevant to population dynamics modeling.

Contribution

It offers new spectral analysis results for these operators, extending understanding in functional analysis and applications in population dynamics.

Findings

Spectral properties characterized for generalized Fibonacci operators.

Applications demonstrated in population dynamics models.

New theoretical insights into Fibonacci-like operators in Banach spaces.

Abstract

We analyze the spectra of generalized Fibonacci and Fibonacci-like operators in Banach space $l^1$. Some of the results have application in population dynamics.