Sentence examples for space of the operator from inspiring English sources

Nevertheless, the eigenfunctions can be utilized if the space of the operator is extended and a suitable inner product is defined.

M being the null space of the operator (vert Bvert^{2}-Vert AVert ^{2}) is a closed subspace of (mathcal{H} ).

Poor repression could be attributed to suboptimal spacing of the operators or poor LacI expression.

As applications, we determine the index of the catenoid of any dimension and the essential spectrum for several minimal submanifolds in the Euclidean space of the Jacobi operator arising from the second variation for the volume of minimal submanifolds.

Then the complex self-adjoint vertex conditions space of the local operator (mathcal{L}) on the graph Γ is denoted as (mathfrak{S}_{Gamma }^{mathbb{C} }), mathfrak{S}_{Gamma}^{mathbb{C} }=bigotimes_{i=1}^{n} mathfrak{S}_{v_{i}}^{mathbb{C} }.

Say there exists a vector Π≠0 in the null space of both the operators.

Higher order of accuracy in space of the implicit operators is achieved at the expense of inverting scalar matrices with larger bandwidth.

It can be found that the range space of the oblique projection operator is, and is a subset of its null subspace.

In this paper, we show that τ(m)="0 is equivalent to the fact that the homogeneous space of the moonshine vertex operator algebra (V♮ m+1 is a conformal 12-design.

This hybridization preserves the null-space of the curl curl operator and is free from non-physical spurious modes, which is confirmed by numerical tests.

The additive structure of the space of composition operators modulo the compact operators is investigated further and a sufficient condition is given to insure that two composition operators lie in the same component.