Sentence examples for restricted operator from inspiring English sources

We are concerned primarily with the compactness of the resolvent (A−λI)−1 of A as an operator on the Banach space X,X="{f∈L2 RN):f/φ∈L∞ RN },‖f‖X= esssupRN(|f|/φ), where φ denotes the ground state for A. If Λ is the ground state energy for A, we show that the restricted operator (A−λI)−1 X→X is not only bounded, but also compact for λ∈.

We also need a restricting operator R : R n → R m such that R ( v ) = V.

But analysts warned that the sale, to be followed next year by a much larger spectrum auction in Britain, could herald a new round of expensive infrastructure levies that might restrict operators at a time when their sales have been stagnating.

A federal appeals court handed a huge victory to the nation's largest television networks and cable operators, ruling that the government had to reconsider sharp limits on the number of stations a network can own and striking down the regulation that had restricted cable operators from owning television stations.

A16 BUSINESS DAY C1-20 A Victory for Big Media A federal appeals court ruled that the government had to reconsider sharp limits on the number of stations a television network could own and struck down a regulation that had restricted cable operators from owning television stations.

And last Tuesday, a federal appeals court, in a ruling likely to make big media even bigger, said the government had to reconsider its limits on the number of television stations a network can own, and struck down the regulation that had restricted cable operators from owning stations.

Instrumentation is achieved without restricting the operator's mobility during navigation.

This may restrict the operator's normal range of movement and thus limit the intuitive handling of the instruments.

Our main result proves unitary equivalence of the doubly commuted operator, restricted to the orthogonal complement of the eigenspace corresponding to the newly inserted eigenvalues, with the original background operator.

To improve the quality of the solution obtained by the crossover operator, restricted 2-opt search is applied.

Then the matrix corresponding to the operator (restricted to C m [ x ] ) in the basis β m is given by (1).