Sentence examples for be a semigroup on from inspiring English sources

Let ( X, d ) be a metric space and ℑ = { F ( t ) : t ∈ G } be a semigroup on X × X × X.

Let ({ S t)}_{t geq 0}) be a semigroup on a Banach space ((X, |cdot|)) that has a bounded absorbing set (B_{0}).

Let ( X, d ) be a metric space and ℑ = { F ( t ) : t ∈ G } be a semigroup on ∏ i = 1 r X.

Definition 2.9 Let ( X, d ) be a complete bounded metric space and ℑ = { F ( t ) : t ∈ G } be a semigroup on X × X × X.

Let ({S t)}_{t geqslant0}) be a semigroup on the Banach space ((X,|cdot|)), with a bounded absorbing set (mathscr{B}_{0}).

Let be a nonempty subset (not necessarily closed and convex) of a Hilbert space and let be a semigroup on and let be an almost orbit of.

Let (S t)) be a semigroup of class (C_{0}) defined on X.

Then is a semigroup of non-expansive mappings on.

Let (S t)) be a semigroup defined on X.

Let (S t)) be a semigroup defined on H.

Definition 2.1 Let S t) be a semigroup defined on X.