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2019
Let S be a semigroup, that is, a set endowed with an associative product $$(s, t)\mapsto st.$$ We consider the (real) Banach space of all real-valued bounded functions on S, namely, $$\ell ^\infty (S)=\Big \{f:S\rightarrow {\mathbb R}\,\,\,\text { such that}\,\,\,\Vert f\Vert \doteq \sup _{s\in S}|f(s)|
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Let S be a semigroup, that is, a set endowed with an associative product $$(s, t)\mapsto st.$$ We consider the (real) Banach space of all real-valued bounded functions on S, namely, $$\ell ^\infty (S)=\Big \{f:S\rightarrow {\mathbb R}\,\,\,\text { such that}\,\,\,\Vert f\Vert \doteq \sup _{s\in S}|f(s)|
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Weak mean attractors and invariant measures for stochastic Schrödinger delay lattice systems
Journal of Dynamics and Differential Equations, 2021Bixiang Wang
exaly
Mean-square random invariant manifolds for stochastic differential equations
Discrete and Continuous Dynamical Systems, 2021Bixiang Wang
exaly
Different Types of Invariant Means
Journal of the London Mathematical Society, 1981Rosenblatt, Joseph, Talagrand, Michel
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Invariant means with special properties
1993A finitely additive measure \(m\) on a set \(X\) is said to be continuous if for every \(A \subset X\) there exists \(B \subset X\) such that \(m(A)=2m(B)\). For an amenable group \(G\) acting on \(X\), the author proves that every \(G\)-invariant mean on \(X\) is continuous if and only if the following condition holds: Given any subgroup \(H\) of \(G\)
BOCCUTO, Antonio, CANDELORO, Domenico
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On Invariant Means which are not Inversion Invariant
Journal of the London Mathematical Society, 1979openaire +1 more source