Sentence examples for kernel operators from inspiring English sources

To study the eigenvalues of P , we first define a family of Birman-Schwinger kernel operators.

This section is devoted to the boundedness of weighted kernel operators in VEAS.

That is why we investigate mapping properties of general kernel operators independently from general-type statements.

The paper is devoted to weighted inequalities for positive kernel operators in variable exponent amalgam spaces.

In this section, we derive compactness necessary and sufficient conditions for kernel operators on VEAS.

Here (sigma_{1}(H)) is the space of kernel operators from H to H as in [15].

(Q x):H rightarrow H ) is a self-adjoint kernel operator for every (xin[0,pi] ).

A basic role is played by an integral kernel operator which is a superposition of creation and annihilation operators with operator-valued distributions as integral kernel.

If a positive kernel operator commutes with a quasinilpotent positive operator, then both operators have a common non-trivial closed invariant subspace.

where are the non-negative lagrange variables, is the nonlinear kernel operator, T denotes the total observation number of the training set, and is the training dataset.

Suppose that the operator function (Q x) ) in the expression (ell y)) satisfies the following conditions: (Q1) (Q x):H rightarrow H ) is a self-adjoint kernel operator for every (xin[0,pi] ).