Sentence examples for operator for which from inspiring English sources

It is then investigated here for the advection operator, for which it is particularly significant.

We construct a conjugate operator for which we prove that a Mourre estimate holds.

Suppose that is an -accretive operator for which there exist and such that (3.6).

Also, we give a characterization on a Toeplitz operator for which the orthogonal complement of its kernel is generated by certain inner functions.

We show that on Gowers' unconditional Banach space, there exists an operator for which the answer to the question is negative.

They depend on three variables, contrary to a skew-product semiflow or an evolution operator, for which they are generalizations and which depend only on two.

In that used here the symbols employed in PC first comprise variables (for which the letters p, q, r, … are used, with or without numerical subscripts); second, operators (for which the symbols ∼, ·, ∨, ⊃, and ≡ are employed); and third, brackets or parentheses.

These results extend to operators for which the directionsa1, …, ad′are given different weights.

Secondly, we will show an estimation on powers of -hyponormal operators for which implies the best possibility of our results.

Let us now determine the operators for which there is a basis of orthogonal eigenpolynomials for the weight function determined by the operator.

Given a complex, separable Hilbert space H, we characterize those operators for which ‖PT(I−P)‖="‖(I−P TP‖ for all orthogonal projections P on H.