Duality of uniform approximation property in operator spaces

TL;DR

This paper explores the duality of the uniform approximation property within operator spaces, extending known Banach space results under the assumption of local reflexivity.

Contribution

It establishes the duality of uniform approximation property in operator spaces, assuming local reflexivity, which is a novel extension of classical Banach space theory.

Findings

Duality of uniform approximation property proven for operator spaces

Extension of classical Banach space results to operator spaces

Relies on the assumption of local reflexivity

Abstract

The duality of uniform approximation property for Banach spaces is well known. In this note, we establish, under the assumption of local reflexivity, the duality of uniform approximation property in the category of operator spaces.