Sentence examples for be continuously embedded in from inspiring English sources

Thus any space which can be continuously embedded in, can be also embedded in, where.

Let be a Banach space which can be continuously embedded in for some compact set such that.

First of all, we should mention that if is an Asplund space, then can be continuously embedded in for some set [22].

Thus, if a Banach space can be continuously embedded in then, it can also be embedded in, where is a scattered compact topological space such that.

In [16] we prove this extension in the following sense: assume that is a Banach space such that, where is García-Falset's coefficient, and is a Banach space which can be continuously embedded in.

From this result and the main result in [16], we can easily deduce that if a Banach space can be continuously embedded in, as above, then it can be renormed to satisfy the w-FPP.

$$\end{document} In the following, the Banach space which is continuously embedded in the space of continuous functions , will be the solution space, and a nonvoid closed convex set K⊂ X shall capture the imposed boundary conditions.

If (k>0), the space (mathbf{D}_{k}) is continuously embedded in AC.

B p, r s is a Banach space and is continuously embedded in S ′ ( R n ).

Suppose (L t)) satisfies (L ′, then (X^{alpha}) is continuously embedded in (H^{alpha}).

(X hookrightarrow Y) means that X is continuously embedded in Y.