Sentence examples for certain operators from inspiring English sources

Brown measures of certain operators in (M2(C),12Tr)∗(M2(C),12Tr) are explicitly computed.

As a consequence we obtain that certain operators □S, αare solvable while their transposest□S, αare not.

The commission could propose common principles if the zones end up discriminating against certain operators or catch too many visiting drivers by surprise.

Geometry (affine, Euclidean, conformal, projective, or any other kind) is characterized by certain operators that act on the objects of the geometry.

In this respect, investigation of certain operators such as selection, crossover, mutation and elitism has been carried out to provide a proper design.

Our proof is based on an analysis of the condition by using certain operators naturally attached to two step nilpotent Lie algebras provided with an inner product.

It studies self-commutators for certain operator pairs and defines some numerical invariants for submodules.

The authors, elsewhere, have studied interpolation bodies, relating them to certain operator algebras on finite dimensional Hilbert spaces.

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

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.