In particular, uniformly nonsquare Banach spaces have this property since they are properly included in this class of spaces.
Two classes of AH-algebras with diagonal maps are shown to have mean dimension zero: the class of AH-algebras with at most countably many extremal traces, and the class of AH-algebras with numbers of extreme traces which induce same state on the K0-group being uniformly bounded (in particular, this class includes AH-algebras with real rank zero).
In particular, uniformly smooth Banach spaces satisfy the (DL -condition.
In particular uniformly convex Banach spaces have normal structure.
In particular, uniformly convex Banach spaces have normal structure (see [2, 3] for more information).
However, species trees constructed using sequences of three classical genes, 18S rRNA, α tubulin and elongation factor 2 did not uniformly support a particular topology.
The original paper, ALINORM 97/9, had been prepared with an objective to develop an action plan to be taken by Codex to apply risk analysis more consistently and uniformly with a particular emphasis on risk management.
Since, is precompact in for every By the Arzela-Ascoli theorem, is precompact in Hence, has a convergent subsequence in Combining this with the monotonicity (3.6), we easily prove that itself is convergent in In particular, is uniformly convergent over the whole of Hence, is uniformly convergent in Set (3.9).
If, in addition, Y is Gateaux smooth, strictly convex and admitting the Kadec Klee property (in particular, locally uniformly convex), then we have the following sharp estimate∥Tf(x)−x∥⩽2ε,for allx∈X.
In particular, if as uniformly in, then in as uniformly in.
Consistent with this model, the presence of non-uniformly sized cells in particular wing compartments leads to crumpling, bending, and other distortions [50], [51].
