[see also: look for, search, try]
Here one seeks to minimize $P(x)$ over the class of feedback controls.
In particular, integral curves evolve continuously, and we should seek to represent them using a measure which reflects this continuity in some way.
In applications of Theorem 1, we are usually seeking a lower bound for $f(E)$.
We are seeking to verify the conjecture that every Banach sequence algebra $A$ that is a Ditkin algebra is PAA.
Thus $f$ is the function sought.
Therefore, the system (5) has a solution of the sought-for type.
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