@article{1198.46019, author="Nikolova, L. and Zachariades, T.", title="{On Edmunds-Triebel spaces.}", language="English", journal="Banach J. Math. Anal. ", volume="4", number="1", pages="146-158", year="2010", abstract="{Summary: We consider the Edmunds-Triebel logarithmic spaces $A_\theta(\log A)_{b,q}$, produced by a Banach couple $\bar A=(A_0,A_1)$, as special cases of extrapolation spaces and get estimates of a measure of weak noncompactness of the unit balls of these spaces in terms of the measures of weak noncompactness of the unit balls of the spaces $A_0$ and $A_1$. We obtain also estimates of the $n$-th Jordan-von Neumann constant $C_n$ and the $n$-th James constant $J_n$ of the spaces $A_\theta(\log A)_{b,q}$ in terms of the corresponding constants of the spaces $A_0$ and $A_1$.}", keywords="{Jordan-von Neumann constant; extrapolation spaces; logarithmic spaces; measure of non compactness; $n$-th James constant; Edmunds-Triebel logarithmic spaces}", classmath="{*46B70 (Interpolation between normed linear spaces) 46B20 (Geometry and structure of normed spaces) 47H08 ( ) }", }