If you are looking for fancy brands, in Costa Adeje there are two shopping malls that I highly recommend.
First off all is Plaza del Duque.It is a round and very fancy open-air shopping mall. People who are interested in luxury shopping with low tax for Europeans or tax-free for non-Europeans will enjoy this mall a lot. The second one is Centro Comercial Safari in Playa de las Americas. We went there on Friday night. It was crowded and lively. The first floor is for the luxury brands and the second floor is for restaurants with nice terrace. People were very elegant and chic as well. The splendid foundation show made me cry a little. You can go there in the evening to enjoy both shopping, and the ambiance and the perfect lightening of pyramid.
The Hard Rock Café of Tenerife is in that region as well. Totally recommended!