Sentence examples for concerning operator from inspiring English sources

Successively, in view of classical results concerning operator theory, to get the existence, it will be enough to verify that L is a Fredholm operator with zero index.

The earlier a life-cycle stage, the more difficult the task- and human-error identification phases will be, since much of the required detail concerning operator tasks and equipment will not be available.

We give a number of corollaries of our results concerning operator and spectral synthesis, and show that the classes of masa-bimodules we study are operator synthetic if and only if they are strong operator Ditkin.

We also present the main result in [1], concerning operators which satisfy condition ( P ).

In this paper, we replace the powers Tn by certain polynomials pn(T), and make use of special properties of the polynomial sequence { pn}n⩾0 to derive some new results concerning operators.

We establish Theorem 3.2, which concerns operators having the local intersection property.

An indicator which concerns operators is the HO signaling costs (measured by the HOR).

In this section we will present some useful notions and results concerning diagonal operators, coupled fixed point operators, and iterations of some operators generated by the above concepts.

This operator reveals a rich structure through its representation as a martingale, and we obtain new results concerning the operator norm ofSacting on the class of differential forms havingLpcoefficients.

Properties concerning this operator can be sought out [23 26], and for the bounds for integral inequality related to this operator, the reader can refer to [27 29] and the references mentioned in these papers.

Sharp embedding theorems and various new estimates concerning differential operator in polydisk also will be presented.