[Authos] Oleg Reinov and Qaisar Latif [Title] Grothendieck-Lidskii theorem for subspaces of quotients of $L_p$-spaces [AMS Subj-class] 47B06 Riesz operators; eigenvalue distributions; approximation numbers, $s$-numbers, Kolmogorov numbers, entropy numbers, etc. of operators [Abstract] Generalizing A. Grothendieck's (1955) and V.B. Lidski\v{\i}'s (1959) trace formulas, we have shown in a recent (Math. Nachr. 286, No. 2-3, 2013, 279-282) paper that for $p\in[1,\infty]$ and $s\in (0,1]$ with $1/s=1+|1/2-1/p|$ and for every $s$-nuclear operator $T$ in every subspace of any $L_p(\nu)$-space the trace of $T$ is well defined and equals the sum of all eigenvalues of $T.$ Now, we obtain the analogues results for subspaces of quotients (equivalently: for qoutients of subspaces) of $L_p$-spaces. [Comments] LaTeX, English, 7 pp. [Contact e-mail] orein51@mail.ru