Sentence examples for pair of operators from inspiring English sources

Unwittingly, Idris and Ari have snared a serious pair of operators.

Since (S,T) is a Banach pair of operators, then S(Fix(T)) ⊂ Fix T).

Since ((S,T)) is a Banach pair of operators, (S operatorname {Fix}(T)) subset operatorname {Fix}(T)).

It is shown that a semigroup of Shattenp-class operators is simultaneously triangularizable if each pair of operators in the semigroup is triangularizable.

We establish some new common coupled fixed point theorems for a pair of operators not assumed to satisfy mixed monotone type properties in the ordered Banach space setting.

([A,B]) stands for the commutator operator (AB-BA), where A and B are any pair of operators on some Banach space.

Interactions of E. coli lac repressor (LacR) with a pair of operator sites on the same DNA molecule can lead to the formation of looped nucleoprotein complexes both in vitro and in vivo.

They're manned by pairs of operators who need to build a neural bridge between their minds so they can work together in a way that the machine can mimic and replicate in battles against the Kaiju.

First, we give a refinement of (9) for two pairs of operators.

Let L X) be the algebra of all bounded operators on a non-trivial complex Banach space X and F: L X) → L X) a bijective linear operator such that F and F−1 both send commuting pairs of operators into commuting pairs.

For all (v_0 in V_0) and (v_1 in V_1) the pairs of operators (delta (v_0)), (mu (cv_0)) and (iota (v_1)), (varepsilon (cv_1)) in (mathrm {End} (mathfrak {a}(V))) obey the relations begin{aligned} delta (v_0)^dagger = mu (c v_0), quad iota (v_1)^dagger = varepsilon (c v_1), end{aligned} i.e., they are mutual adjoints with respect to the unitary structure of (mathfrak {a} (V)).