I am starting a business coaching high school students on getting into college. The first word in the name of my company is the same as that of a well-known company that publishes book summaries for students. The first word is unique in the sense that it has nothing to do with the product.The rest of my company's name is completely different. The well-known company provides college admissions advice, but only on-line. The name that I want to use is not registered with the US PTO, nor does it appear on any of the large search engines. Can well-known company claim infringement or dilution simply because the first name of our companies is the same?