When clarity requires it, we shall write ......
We shall write “a.e. $[\omega]$” whenever clarity requires that the measure be indicated. [Note the subjunctive be.]
For the sake of clarity, we shall indicate in what follows to which space $X$ belongs.
It seems preferable, for clarity's sake, not to present the construction at the outset in the greatest generality possible.
Standard Banach space notation is used throughout. For clarity, however, we record the notation that is used most heavily.
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