A formula for the sum of n weak☆ closed sets in L∞

作者：Zivari-Rezapour, Mohsen; Liu, Yichen^*; Emamizadeh, Behrouz

来源：Comptes Rendus Mathematique, 2023, 361(1): 1635-1639.

DOI：10.5802/crmath.520

• n-valued functions
• formulation
• weak(star) closure
• rearrangements
• eigenvalues

In this note, we derive an equation which describes the closure of a particular set comprising n-valued functions. This result provides an answer to a long standing question for which the particular case n = 2 had been known and used frequently in the optimal control problems.

• 单位
  西交利物浦大学; 宁波诺丁汉大学