%0 Journal Article %T Minimal and Maximal Operator Space Structures on Banach Spaces %A Vinod Kumar P. %A M. S. Balasubramani %J Mathematics %D 2014 %I arXiv %X Given a Banach space $X$, there are many operator space structures possible on $X$, which all have $X$ as their first matrix level. Blecher and Paulsen identified two extreme operator space structures on $X$, namely $Min(X)$ and $Max(X)$ which represents respectively, the smallest and the largest operator space structures admissible on $X$. In this note, we consider the subspace and the quotient space structure of minimal and maximal operator spaces. %U http://arxiv.org/abs/1411.5079v1