Abstract
Unitarily invariant norms, and the symmetric gauge functions which represent them, appear increasingly often in recent literature on matrices and other compact Hilbert-space operators. The variety of norms which can be of interest is greater than might have been anticipated. We will recall later in this Section some of the processes by which new u.i. norms or s.g.f. can be concocted, and some of the motivations for taking advantage of these possibilities.
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