Sentence examples for operator version from inspiring English sources

The following theorem is a multiple operator version of Theorem 1.1 (see e.g., [1, page 5]).

The next result is an operator version of additive Grüss inequality.

The following result, which is an operator version of Theorem 2.5, may be stated.

New scalar versions of Young's inequalities are promoted, the operator version and the Hilbert-Schmidt form also get a promotion.

The following result that provides an operator version for the Jensen inequality is due to [5] (see also [1, page 5]).

The operator version of the Heron means is denoted by F_{alpha} A,B = 1-alpha) (Asharp B)+alpha( Anabla B) for (0leqalphaleq1).

We undertake a detailed study of the sets of multiplicity in a second countable locally compact group G and their operator versions.

The modal operator versions do not.

The possible world versions of weak and strong supervenience are weaker than the corresponding modal operator versions.

Again, though, the modal operator versions are equivalent to the possible worlds versions if the base set B is closed under Boolean operations, and operations involving quantification.

In this section, we present the operator versions of these reverse arithmetic-harmonic mean inequalities proved in Section 2.