On strong Arens irregularity of projective tensor product of Hilbert-Schmidt space

Ved Prakash Gupta, Lav Kumar Singh

It was shown in [16] that the Banach algebra $A:=S_2({\ell }^2){\otimes }^{\gamma }{S}_2({\ell }^2)$ is not Arens regular, where $S_2({\ell }^2)$ denotes the Banach algebra of the Hilbert-Schmidt opera…