no code implementations • 30 Aug 2020 • Arup Chattopadhyay, Guixiang Hong, Avijit Pal, Chandan Pradhan, Samya Kumar Ray
We also show that whenever $S_q$ embeds isometrically into $S_p$ for $(q, p)\in \left(1,\infty\right)\times\left[2,\infty \right)\cup[4,\infty)\times\{1\} \cup\{\infty\}\times\left( 1,\infty\right)\cup[2,\infty)\times\{\infty\}$ with $p\neq q,$ we must have $q=2.$ Thus, our work complements work of Junge, Parcet, Xu and others on isometric and almost isometric embedding theory on non-commutative $L_p$-spaces.
Functional Analysis Operator Algebras 46B04, 46L51, 15A60, 47A55
