Sentence examples similar to characterizations of space from inspiring English sources

Characterizations of spaces of weak cotype 2 in terms of s-numbers and of operator ideal norms are obtained.

Paper: "Active Polarimetric Measurements for Identification and Characterization of Space Debris".

Four paragraphs marked by Roman numerals I IV follow the opening paragraph, giving Newton's characterizations of time, space, place and motion, respectively, as summarized in the third paragraph of Section 1 above.

Kamel et al. also found that forced diuresis did not improve the characterization of space-occupying lesions in the kidney.

213 (1) (2007) 462 488] relating the set of complex structures up to isomorphism on a real space to a group associated to inessential operators on that space, and give characterizations of even spaces in terms of this group.

We note that some interesting characterizations of quaternionic space forms were obtained in [35].

Such a result would imply ζ-convexity which is one of the three equivalent conditions giving some geometric characterizations of Banach spaces, see [3]: zetambox{-convex} quad Longleftrightarrowquad mbox{UMD}quad Longleftrightarrowquad mbox{HT-space}.

When we consider the boundedness of Riesz transforms for L on Hardy spaces, the main tool is Littlewood-Paley characterizations of Hardy spaces.

The characterizations of trace spaces are given in terms of local polynomial approximations.

In this paper, we present some new characterizations of Sobolev spaces.

Third, we give some more generalized characterizations of Sobolev spaces on the Heisenberg groups (Theorem 5.1, Theorem 5.2).