mathematics, the Milman–Pettis theorem states that every uniformly convex Banach space is reflexive. The theorem was proved independently by D. Milman (1938) and...

equations and normal modes. The Krein–Milman theorem and the Milman–Pettis theorem are named after him. Milman received his Ph.D. from Odessa State University...

Mihăilescu's theorem (number theory) Milliken–Taylor theorem (Ramsey theory) Milliken's tree theorem (Ramsey theory) Milman–Pettis theorem (Banach space)...

(which implies strict convexity), then it is also reflexive by Milman–Pettis theorem. The following properties are equivalent to strict convexity. A...

Dunford–Pettis property Dunford–Pettis theorem Milman–Pettis theorem Orlicz–Pettis theorem Pettis integral Pettis theorem Graves, William H.; Davis, Robert...

} More generally, uniformly convex spaces are reflexive, by the Milman–Pettis theorem. The spaces c 0 , ℓ 1 , L 1 ( [ 0 , 1 ] ) , C ( [ 0 , 1 ] ) {\displaystyle...

smaller than the one provided by the original weaker definition). The Milman–Pettis theorem states that every uniformly convex Banach space is reflexive, while...

all uniformly convex Banach spaces are reflexive according to the Milman–Pettis theorem. The L 1 ( μ ) {\displaystyle L^{1}(\mu )} and L ∞ ( μ ) {\displaystyle...