Sentence examples for operator is bounded from inspiring English sources

Operator is bounded, because (211).

Then the operator is bounded.

Now assume the operator is bounded.

This condition is sharp when the observation operator is bounded.

The operator is bounded, pseudomonotone, and coercive for sufficiently large.

Then the operator is bounded if and only if (3.1).

(i)Liu et al. [12] showed that composition operator was bounded on Hardy-Orlicz space.

Lu and Cao [13] also showed that composition operator was bounded on Bergman-Orlicz space.

In order to show that is not dense in, we will construct a linear operator being bounded in the space but unbounded when restricted to.

It is proved that each of these operators is bounded, lies in the Cowen Douglas class of D and is irreducible.

First, we consider the case when one of the operators is bounded and the other one belongs to the Hilbert Schmidt class.