Some estimates for the least power of identities of subspaces $M_1^{(m,k)}(F)$ of the matrix superalgebra $M^{(m,k)}(F)$

We estimate the least power of identities of subspaces $M_1^{(m, k)}(F)$ of the matrix superalgebra $M^{(m, k)}(F)$ over the field $F$ for any $m$ and $k$. For subspaces $M_1^{(m, 1)}(F)$ $(m\geq1)$ and $M_1^{(2,2)}(F)$ we obtain concrete minimal identities.