Sentence examples for only for operators from inspiring English sources
This spectral resolution was previously understood only for operators on "small bundles"—for example, the differential form operatorsδd, anddδ, and the square of the Dirac operator.
On April 7th, a WTO appeals panel reached a decision that both sides have claimed as a victory.The WTO agreed with most of Antigua's claims that America's practices are inconsistent and discriminate against foreign operators (because America allows online horse-race betting, but only for operators authorised by American states).
2.1.2 (definitely some extra twisting required) and then recover the spectral asymptotics—originally only for operators which are (xi )-microhyperbolic.
However, in any case, there remains a question mark over the theoretical status of the discreteness result which has been shown to hold only for operators on the kinematical Hilbert space, that is, for gauge-variant quantities.
The KCSS, instead, would continue only for operators of pre-primary settings for children under the age of 3. Third, they must offer local curriculum and charge a tuition fee not exceeding the tuition ceiling (for the 2014/2015 school year, the ceiling is HK $30,020 (half-day)/HK $60,040 (whole-day) per student per annum (Education Bureau 2014a)).
But for operators, building mobile-only TV franchises will not be easy.
It is a theorem that elements in Banach algebras and, in particular, bounded operators on any Banach space, have non-empty spectrum but that is only for bounded operators.
Results of this kind have been obtained firstly in Hilbert spaces, but only for Lipschitz operators, and then they have been extended to more general Banach spaces (thanks to several geometric inequalities for general Banach spaces developed) and to more general classes of operators.
One exception is Comprehensive Health Services (CHS), which, based on Forbes' reporting, is the nation's only for-profit youth migrant shelter operator.
When used as directed, herbicides are generally safe, not only for the operator but also for wildlife and livestock.
Many states require background checks not only for the operator(s) of a dispensary, but also for all investors and owners.
