Sentence examples for natural operators from inspiring English sources

This paper considers certain natural operators on L2(K), namely multiplication operators and differential operators, conjugated by the generalized Segal Bargmann transform.

While the class of multipliers of the Sobolev space Wk,1(Rn) is strictly larger than the space of bounded measures for n > 1 [3], we show in this paper that it fails to contain certain natural operators of the singular integral type (Theorem 1).

Koenderink and Doorn (1992) showed that Gaussian derivative operators are natural operators to derive from a scale-space representation, given the assumption of scale invariance.

The Fourier algebras have a natural operator space structure as preduals of von Neumann algebras.

IfAis a unitalC*-algebra andLis a closed left ideal ofA, thenA/(L+L*) has a natural operator-system structure relative to which it is aC*-system.

It coincides with the natural operator space \̃gG2 V, W∗) of maps ϑ: V → W∗ which have completely bounded factorizations through Hilbert spaces (with vectors identified with row matrices).

So among all the integrals of Cauchy Fantappié type associated to such domains, the Cauchy Leray integral is the unique and natural operator that most closely resembles the classical Cauchy integral from one complex variable.

The idea in the paper is to define a natural operator on the metric (in fact, normed) space ((l^{infty}_{omega}({mathbb {N}}_{0}^{k}),|cdot|_{omega _{infty}})), which will be a contraction, so that by using the Banach fixed point theorem can be shown the existence of a fixed point, which will be a unique periodic solution to system (1).

Here we have extended the thermodynamic analysis to the remaining natural CytR operators plus a set of synthetic operators designed to isolate spacing as the single variable.

"We substantially raised the bar of what we expect from natural gas operators," said Representative Matthew Baker, a Republican who helped shape the legislation.

A possible bid by Gazprom comes as the Russian government and its oil and natural gas operators want to build large retail networks to reach consumers in the United States, Europe and China.