Usually a bamboo T-shirt is actually bamboo viscose, a regenerated cellulose fibre, not a natural bamboo fibre. The chemical process largely erases any property the plant itself might have.
Claims such as antibacterial or odour-resistant should be treated carefully: they are not proven for every bamboo article. The fibre is soft and absorbs moisture well, like other viscoses. On the label it can be written as viscose (from bamboo), following labelling rules. Ask for test reports if you want to communicate specific properties.
bambooviscoseclaims
