Sentence examples for with this norm from inspiring English sources
The space with this norm is a Hilbert space.
Y q becomes a Banach space with this norm.
Then is a uniform convex Banach space with this norm.
With this norm, is a Hilbert space induced by the inner product defined by (2.15).
The space L ϕ with this norm is a Banach space (see [1]).
With this norm, ω μ n ( D ) becomes a Banach space.
All topological notions such as continuity and convergence in a Krein space are understood to be with respect to this norm topology.
Because every point in Ω is an accumulation point of Ω in relation to the norm (3.7), so it is meaningful to discuss convergence of boundary value transmission problems with respect to this norm.
Completeness is expressed using a form of the Cauchy criterion for sequences in H: a pre-Hilbert space H is complete if every Cauchy sequence converges with respect to this norm to an element in the space.
(b) (c) To see this, let us note that there is an equivalent norm on such that the underlying space equipped with this new norm is smooth and strictly convex (see [14, 15]).
Who was this Norm, with his name written so big and snazzy?
