NEW YORK — Bloomingdale’s has recruited active-inspired sportswear to pump up its Third Avenue and Lexington Avenue windows this month. Among the starters: Team ABS’s satin and Lycra spandex warmups and pants in silver, black and white, red and yellow; Necessary Objects’ cotton and Lycra basketball shorts, thermal underwear and tank tops in primary brights, and sportswear and pants in solid colors from Tapemeasure. To further emphasize the activewear theme, sneakers — ranging from Chanel to Adidas — will step up to the plate glass during the week of Jan. 24.