See also

• Dunford–Pettis property
  Dunford–Pettis property
  In functional analysis, the Dunford–Pettis property, named after Nelson Dunford and B. J. Pettis, is a property of a Banach space stating that all weakly compact operators from this space into another Banach space are completely continuous...
  
  
• Dunford–Pettis theorem
• Milman–Pettis theorem
  Milman–Pettis theorem
  In mathematics, the Milman–Pettis theorem states that every uniformly convex Banach space is reflexive.The theorem was proved independently by D. Milman and B. J. Pettis . S. Kakutani gave a different proof in , and John R. Ringrose published a shorter proof in 1959.- References :* S. Kakutani,...
  
  
• Orlicz–Pettis theorem
  Orlicz–Pettis theorem
  In functional analysis, the Orlicz–Pettis theorem is a theorem about convergence in Banach spaces. It is named for Władysław Orlicz and Billy James Pettis. The result was originally proven by Orlicz for weakly sequentially complete normed spaces....
  
  
• Pettis integral
  Pettis integral
  In mathematics, the Pettis integral or Gelfand–Pettis integral, named after I. M. Gelfand and B.J. Pettis, extends the definition of the Lebesgue integral to functions on a measure space which take values in a Banach space, by the use of duality. The integral was introduced by Gelfand for the...
  
  
• Pettis theorem

External links

• A Guide to the B. J. Pettis Papers, 1938-1980