an: Zbl 1198.46019
au: Nikolova, L.; Zachariades, T.
ti: On Edmunds-Triebel spaces.
la: EN
so: Banach J. Math. Anal. 4, No. 1, 146-158, electronic only (2010).
py: 2010
dt: J
cc: *46B70 46B20 47H08
ut: Jordan-von Neumann constant; extrapolation spaces; logarithmic spaces;
    measure of non compactness; $n$-th James constant; Edmunds-Triebel
    logarithmic spaces
ab: 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 $A_1$.