The fund is also offering to buy the company's home services division Ship. : A hedge fund owned by Sears Chief Executive Edward Lampert, has made an offer to buy the Kenmore brand of appliances for $400 million. The offer was disclosed in a filing with the Securities and Exchange Commission, according to Reuters. ESL Investments is also offering to buy the company's home services division Ship for $70 million in cash. The offer for Kenmore is conditional on ESL receiving equity financing from a potential partner, according to filing. No partner was named.