A *-Autonomous Category of Banach Spaces--Correction

TL;DR

This paper discusses the construction of a *-autonomous category of Banach spaces, providing corrections to previous work and adding an example involving topological complex linear spaces.

Contribution

It introduces a corrected *-autonomous category of Banach spaces and presents a new example involving topological complex linear spaces.

Findings

Corrected the original *-autonomous category of Banach spaces

Added an example of *-autonomous category of topological complex linear spaces

Clarified the categorical structure of Banach spaces

Abstract

We describe a $\C$-linear additive *-autonomous category of Banach spaces. Please note that a correction has been appended to the original version 1 which is maintained here for reference. Also, a proposed example of a *-autonomous category of topological $\C$-linear spaces has been added to version 2.