# Linearization of holomorphic semicocycles in Banach spaces

## TL;DR

This paper investigates conditions under which holomorphic semicocycles in Banach spaces can be transformed into linear forms, enhancing understanding of their structure and potential simplifications in infinite-dimensional analysis.

## Contribution

It provides new criteria for the linearizability of holomorphic semicocycles in Banach spaces, a topic not extensively explored before.

## Key findings

- Established criteria for semicocycle linearizability
- Connected linearizability to cohomological equivalence
- Extended analysis to infinite-dimensional Banach spaces

## Abstract

We consider holomorphic semicocycles on the open unit ball in a Banach space taking values in a Banach algebra. We establish criteria for a semicocycle to be linearizable, that is, cohomologically equivalent to one independent of the spatial variable.