A note on commutative and noncommutative Gurariy spaces

TL;DR

This paper confirms two open questions about Gurariy spaces and extends one of these results to the noncommutative setting, advancing understanding of these specialized Banach spaces.

Contribution

It provides affirmative answers to two questions on Gurariy spaces and generalizes a key result to noncommutative Gurariy spaces.

Findings

Confirmed two open questions about Gurariy spaces.

Extended a main result to noncommutative Gurariy spaces.

Abstract

In this short note, we answer two questions about Gurariy spaces asked in the literature in the affirmative. We also prove the analogue of one of the results for the noncommutative Guariy space.