#### Mathematical English Usage - a Dictionary

##### 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 A_{n} have still better smoothness properties.

Consequently, F has the Δ_{2} property. [= F has property Δ_{2}.]

Among all X with fixed L^{2} 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 to have> the Radon-Nikodym property.

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