Sentence examples for left regular from inspiring English sources

Note also that Theorems 4.1 and 4.2 need not the assumption of being a left-invariant -stable subspace of containing " " and to be a left-invariant mean on, although it is assumed to be strongly left regular so that it fulfils ; for all (Assumption 1, see Definition 3.6.

(1)left invariant if ; for all, for all, for all in for ; (2)strongly left regular if, for all, where is the adjoint operator of defined by ; for all, for all.

Five of the first seven picks were forwards, and some of the selections left regular watchers of the league scratching their heads.

The good news is that a new generation of real London buses, missing since the Routemasters left regular service, is finally, after years of cumbersome, heavy, noisy and old-fashioned off-the-peg vehicles, about to bloom.

Usually left regular (k-regular) is called regular (k-regular) for short.

A net of means on is said to be left regular if (2.2). for each, where is the adjoint operator of.

A generalization of this result to the case of monotone left-regular n-posets is given.

In particular, every subrepresentation of the left-regular representation of a free group has this property.

Let ˜X be its Oshima compactification, and (π,C ˜X)) the left-regular representation of G on ˜X.

(i) is a strongly left-regular sequence of means on, that is,.

(i) is a strongly left-regular sequence of means on, that is, (the dual of ).