Wojciech Chojnacki

Reflexivity and James’ Theorem via Vector-valued Banach Limits

Abstract We present a new, concise proof of the result that a Banach space $${X}$$ X is reflexive if it admits a Banach limit on bounded $${X}$$ X -valued sequences such that the limit vector of any input sequence lies in the closed linear span of that sequence. Building on this...