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A monotone mapping A is said to satisfy the range condition if we have D ( A ) ⊆ C ⊆ ⋂ r > 0 J − 1 R ( J + r A ) (2.1).
An accretive operator is said to satisfy the range condition if for all, where is the domain of, is the identity mapping on, is the range of, and is the closure of.
An operator is said to be accretive if for each and, there exists such that An accretive operator is said to satisfy the range condition if for all where is the domain of is the identity mapping on, is the range of and is the closure of.
Its transpose A ⊤ is said to satisfy the range space property (RSP) of order K with a constant ρ>0 if for all sets S⊆{1,…,n} with |S|≥K and for all ξ in the range space of A ⊤ the following inequality holds |xi_{S^{c}}|_{1}le rho|xi_{S}|_{1}.
Instead, weights representing a smoothing of an otherwise adopted threshold filter satisfy the range constraint.
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The optimized mixes satisfy the ranges for slump flow, V-funnel time, L-box ratio and segregation resistance percentage.
Then is demicontinuous, monotone, and satisfies the range condition: (3.28).
We say that satisfies the range condition if for all.
If we assume that is monotone (not necessarily maximal) and satisfies the range condition (3.25).
Suppose that is a finite family of accretive operators such that and satisfies the range conditions: (2.8).
If is an accretive operator which satisfies the range condition, then we can define, for each, a mapping by, which is called the resolvent of.
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