Mathematical English Usage - a Glossary

by Jerzy Trzeciak

property

[see also: characteristic, feature]

Let f be a map with f|M having the Mittag-Leffler property.

Then F has the property that......

the space of all functions with the property that......

Now F has the additional property of being convex.

The operators An have still better smoothness properties.

Consequently, F has the Δ2 property. [= F has property Δ2.]

Among all X with fixed L2 norm, the extremal properties are achieved by multiples of U.

However, not every ring enjoys the stronger property of being bounded.

On the other hand, as yet, we have not taken advantage of the basic property enjoyed by S: it is a simplex.

Certain other classes share this property.

This property is characteristic of holomorphic functions with......

The structure of a Banach algebra is frequently reflected in the growth properties of its analytic semigroups.

It has some basic properties in common with another most important class of functions, namely, the continuous ones.

The space X does not have <fails> the Radon--Nikodym property.


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