What company invented the first tennis shoes?

Actually, "tennis shoe" is just one common name attributed to the general trainer, usually occurring in American or Australian English. The tennis shoe was made possible by the invention of vulcanized rubber, and by the start of the 20th century, many small companies involved with the production of bicycle tires were also manufacturing shoes. U.S. Rubber invented Keds in 1916, the same year that Converse came out with their All Star shoe. The first shoe marketed as a tennis shoe was created and sold by Adidas in 1931.