Geodesic
Singularities of embedding operators between symmetric function spaces on $[0,1]$
Matematičeskie zametki, Tome 62 (1997) no. 4, pp. 549-563.

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The properties of the identity embedding operator $I(X_1,X_2)$, $(X_1\subset X_2)$ between symmetric function spaces on $[0,1]$ such as weak compactness, strict singularity (in two versions), and the property of being absolutely summing are examined. Banach and quasi-Banach spaces are considered. A complete description of the linear hull closed with respect to measure of a sequence $(g_n^{(r)})$ of independent symmetric equidistributed random variables with $$ d(g_n^{(r)};t) =\operatorname{meas}\bigl(\omega: |g_n^{(r)}(\omega)|>t\bigr) =\frac 1{t^r},\qquad t\ge1,\quad 0\infty, $$ is obtained, and the boundaries for this space on the scale of symmetric spaces are found. 
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S. Ya. Novikov. Singularities of embedding operators between symmetric function spaces on $[0,1]$. Matematičeskie zametki, Tome 62 (1997) no. 4, pp. 549-563. http://geodesic.mathdoc.fr/item/MZM_1997_62_4_a7/

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