After all claims for damages filed pursuant to this part have been finally determined, by allowance by the legislative body, by withdrawal, or by a judgment in an action or actions brought pursuant to Chapter 5 (commencing with Section 11400), and the full amount of damages to be paid has accordingly been finally determined, all or any part of the total amount of damages (but not exceeding that part thereof as may be specified in the resolution of intention), together with all costs and expenses incurred in connection with any proceedings or actions taken pursuant to this part, may be assessed against the lands within the district and subject to assessment, in proportion to the special benefits, in accordance with subdivision (a) of Section 2 of Article XIII D of the California Constitution, to be derived from the establishment of the pedestrian mall.