Sentence examples for dual operator from inspiring English sources

We also show that the multiplier operator algebras of dual operator spaces are dual operator algebras.

A dual operator, the bold disjunctive rule, is also introduced.

Denote by (T_{beta}') the dual operator of (T_{beta}).

Let (T_{beta}') be the dual operator of (T_{beta}).

Essentially, the denial rules for an operator correspond to the assertion rules for the dual operator.

Dual operator and inverse operator are defined as two new genetic operators respectively in this paper.

In this situation, self-dual rather than dual operators should be used.

We define the dual operators, H, G, and □ in the usual manner as ~P~, ~F~, and ~ ◊ ~ respectively.

Most morphological operators occur by pair of dual operators as highlighted by the erosion/dilation and opening/closing pairs.

Dilation and erosion functions are dual operators, where dilating background objects is the same as eroding foreground objects.

Via a pointwise estimate, we obtain the boundedness of the operators (V^{beta_{2}} -Delta +V)^{-beta_{1} -Deltatheir dual operators on these Morrey spaces.