# Continuous Functional Calculus for Quaternionic Bounded Normal Operators

## TL;DR

This paper develops a method to define continuous functional calculus for bounded normal operators in quaternionic Hilbert spaces, extending classical operator theory to the quaternionic setting.

## Contribution

It introduces a novel approach to continuous functional calculus specifically for quaternionic normal operators, filling a gap in quaternionic operator theory.

## Key findings

- Established a framework for continuous functional calculus in quaternionic Hilbert spaces
- Extended classical operator theory results to the quaternionic setting
- Provided foundational tools for future research in quaternionic functional analysis

## Abstract

In this article we give an approach to define continuous functional calculus for bounded quaternionic normal operators defined on a right quaternionic Hilbert space.