Mathematical English Usage - a Dictionary

by Jerzy Trzeciak

fail

[see also: hold, invalid, short]

The space $X$ fails to have the Radon-Nikodym property.

Hence $A$ fails to satisfy (3).

For $j=1$ the operator is bounded, yet the integral (8) fails to be finite.

It is highly likely that if one of the $X$'s is exchanged for another, the inequality fails.



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