Isometric Embeddability of $S_q^m$ into $S_p^n$

Arup Chattopadhyay, Guixiang Hong, Avijit Pal +2

In this paper, we study existence of isometric embedding of $S_q^m$ into $S_p^n,$ where $1\le p\ne q\le \infty$ and $n\ge m\ge 2.$ We show that for all $n\ge m\ge 2$ if ther…