Diophantine approximation in Banach spaces

作者：Fishman Lior^*; Simmons David; Urbanski Mariusz

来源：Journal de Theorie des Nombres de Bordeaux, 2014, 26(2): 363-384.

DOI：10.5802/jtnb.871

In this paper, we extend the theory of simultaneous Diophantine approximation to infinite dimensions. Moreover, we discuss Dirichlet-type theorems in a very general framework and define what it means for such a theorem to be optimal. We show that optimality is implied by but does not imply the existence of badly approximable points.

• 出版日期2014