Need a simple, non-legalese “executor" definition? An executor is the person who handles a deceased person's estate, making sure all property is distributed according to the decedent's wishes and that all debts are paid. Usually, executors are close family members of the deceased—spouses, children, parents, or siblings—but the person writing a will (the “testator") can choose anyone to fulfill this role.
In this case, you need to write a remark about that circumstance on the Business Property Statement, or on an attachment to it. Also fill out Part III (Equipment Belonging To Others) of the form. If you own any small equipment, such as a printer, copier, etc., that you are using in the business, you should report these costs under Part II of the Business Property Statement and also Schedule A.