We consider, from the point of view of operator theory, a class of infinite matrices in which the matrix entries are determined by an underlying graph structure with accompanying geometric data. This class includes the rigidity matrices of infinite bar-joint frameworks as well as the incidence matrices of infinite directed graphs. We consider the following questions: When do these matrices give rise to bounded operators? Can we compute the operator norm? When are these operators compact? And when are they bounded below?
Sutherland known to me is Allt Uairidh, behind Abriachan, Inverness. It is probably a Pictish survival. Another term extremely common is rabhann, pronounced in some parts raftan, a species of grass growing in lochs of which sheep and cattle are fond. From it we have Bada-rabhainn, 'clump of ravan,' and such. It is probably to be connected with Welsh rafu, 'to spread'; rafon, 'berries growing in clusters.' LOn in Sutherland means 'a slow burn,' as in Skye. Saidh, 'bitch,' occurs several times, as in Coire na Saidhe Duibhe, 'corry of the black bitch.' Preas regularly means 'copse,' not 'bush.' Diminutives in-ie are very common, e.g. alltaidh, 'a burnlet'; also dailidh, 'a little dale.'
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