Sears Holding Corp. shares are up 12.6% in Monday premarket trading after an investor in the struggling retailer, ESL Investments Inc., whose chief executive, Eddie Lampert, is also the CEO of Sears, recommended the partial or complete sale of a number of assets, including the Kenmore brand, the Sears Home Improvement business, and the PartsDirect business. The two latter assets are part of the Sears Home Services division. ESL is one of the company’s primary lenders. The ESL Investments letter says it is willing to place a bid to acquire the Sears Home Services division and PartsDirect at an enterprise value $500 million. ESL would also be willing to purchase some of Sears’ real estate, including the assumption of $1.2 billion in debt obligations, in order to lease it back to the stores for continued operation. Lampert and Kunal Kamlani, president of ESL Investments and a director on Sears’ board, said they will not participate in any negotiations or discussions on behalf of the company. Sears shares are down 77.5% for the past year while the S&P 500 index is up 13.7% for the period.