Sentence examples for a class of operators from inspiring English sources

We study a class of operators on nilpotent Lie groups G given by convolution with flag kernels.

Remark 1.2 A class of operators closely related to the class of accretive operators is the class of dissipative operators.

Such a class of operators is important because they include many types of nonlinear operators arising in applied mathematics.

We compute the K-theory of C⁎(Cφ,K) and calculate the essential spectra of a class of operators in this C⁎-algebra.

We note that Li and Liang [15] introduced the definition of φ-concave operator, which provided a general method to copy with such a class of operators together.

Such a class of operators is fundamental because it includes many types of nonlinear operators arising in applied mathematics and optimization.

In both cases, we are dealing with a class of operator actions that do not fit into standard operating procedures, i.e. they are not readily formalised into explicit work instructions.

The results obtained will provide a new approach for discussing a class of operator equations in locally convex spaces.

In this paper we deal with the existence and multiplicity of nontrivial solutions to a class of operator equation.

In this paper, we provide a new approach for discussing the solvability of a class of operator equations by establishing fixed point theorems in locally convex spaces.

We study a class of pseudodifferential operators known as time frequency localization operators, Anti-Wick operators, Gabor Toeplitz operators or wave packets.