Sentence examples for a certain operator from inspiring English sources

However, in our case, the condition is used to prove the measurability of a certain operator.

An interesting question is the existence of a best proximity point of a certain operator under constraint inequalities.

In this paper, we obtained sufficient conditions for the existence of a fixed point of a certain operator under two constraint inequalities with respect to two partial orders.

Rather, they tend to occur only under certain conditions, such as when the transaction is handled by a certain operator, or the weather is rainy.

In the proof we use oscillatory integrals, the Cotlar Stein almost orthogonality theorem, a sort of Littlewood Paley decomposition for a certain operator, some basic facts about Fourier integral operators and pseudodifferential operators.

In our paper "Essential normality, essential norms and hyperrigidity" we claimed that the restriction of the identity representation of a certain operator system (constructed from a polynomial ideal) has the unique extension property, however the justification we gave was insufficient.

The finite section method for A proves to converge if and only if the operator A itself is invertible, if the operator PãP + Qd̃ Q+ (Pã′ P + Qd̃′Q)J with ã(t)$̈= a1tt) is invertible, and if a certain operator-valued function A (the symbol of A relative to the finite section method) is invertible at each point τ of the upper half of the unit circle.

Certain operator algebras A on a Hilbert space have the property that every densely defined linear transformation commuting with A is closable.

However, the effectiveness of echocardiography may be limited by the patient's morphology and by artefacts due to valvular calcifications or prosthetic material; furthermore, echocardiography requires a highly trained operator and results are to a certain degree operator dependent.

An application of a certain integral operator is also considered.

We now study the class k − S T s under a certain integral operator.