Applications of almost periodic compactifications

From MaRDI portal

Publication:774973

Jump to:navigation, search

DOI10.1007/BF02559535zbMath0104.05501WikidataQ106765698 ScholiaQ106765698MaRDI QIDQ774973

Karel de Leeuw, Irving Glicksberg

Publication date: 1961

Published in: Acta Mathematica (Search for Journal in Brave)

Mathematics Subject Classification ID

Classical almost periodic functions, mean periodic functions (42A75) Groups and semigroups of linear operators (47D03) Structure of topological semigroups (22A15)

Related Items

Direct sums of spaces of functions on semigroups ⋮ Asymptotically Stationary Processes on Amenable Groups ⋮ Amenability of Function Spaces on Thick Subsemigroups ⋮ The RAGE theorem in Banach spaces ⋮ Linear contraction semigroups on \(C(X)\): Irreducibility and convergence theorems ⋮ From a topological theory of semigroups to a geometric one ⋮ Filters and the Weak Almost Periodic Compactification of a Discrete Semigroup ⋮ SAP compactifications of \(n\)-fold and infinite semidirect products ⋮ Preservation of products by functors close to reflectors ⋮ Weak amenability of Banach algebras on locally compact groups ⋮ Weak almost periodicity and the strong ergodic limit theorem for periodic evolution systems ⋮ Semigroups of quasi-compact operators ⋮ Uniform limit power-type function spaces ⋮ On isometry groups and maximal symmetry ⋮ Asymptotic behavior of successive iterates of continuous functions under a Markov operator ⋮ An example and transition function equicontinuity ⋮ The maximum-entropy measure of a rational endomorphism of the Riemann sphere ⋮ Algebraic structure of semigroup compactifications: Pym's and Veech's theorems and strongly prime points ⋮ Uniform distribution and the mean ergodic theorem ⋮ Linearized viscoelastic Oldroyd fluid motion in an almost periodic environment ⋮ Generalized Besicovitch spaces and applications to deterministic homogenization ⋮ Reiterated ergodic algebras and applications ⋮ Analysis on semihypergroups: function spaces, homomorphisms and ideals ⋮ Multiplier semigroups and weakly almost periodic measures on foundation semigroups ⋮ On the countability of the spectrum of weakly almost periodic functions ⋮ Asymptotic behavior of evolution systems in arbitrary Banach spaces using general almost periodic splittings ⋮ Unitary spectrum of a contraction in Banach space ⋮ Almost-periodic functions, compactifications, and faces of finite- dimensional cones ⋮ Extension of quantum dynamical semigroups ⋮ Minimally weakly almost periodic groups ⋮ Deterministic functions on amenable semigroups and a generalization of the Kamae-Weiss theorem on normality preservation ⋮ Weakly almost periodic functions on semisimple Lie groups ⋮ Unimodular eigenvalues and weak mixing ⋮ Decomposition of operator semigroups on W\(^{\ast}\)-algebras ⋮ Kakutani-type fixed point theorems: a survey ⋮ Distal Compactifications of Semigroups ⋮ Une approche nouvelle de la presque-périodicité faible ⋮ A spectral criterion for the almost periodicity of one-parameter semigroups ⋮ Almost-periodic dissipative actions of semigroups ⋮ A spectral criterion of asymptotic almost periodicity for uniformly continuous representations of Abelian semigroups ⋮ Almost periodic type functions of several variables and applications ⋮ Introverted algebras with mean value and applications ⋮ Uniform families of ergodic operator nets ⋮ Almost periodic and asymptotically almost periodic functions. I ⋮ A nonlinear analytic approach to the splitting theorem of Jacobs-de Leeuw-Glicksberg ⋮ Compact operators on a Banach space into the space of almost periodic functions ⋮ Converse problems of Fourier expansion and their applications. ⋮ Almost periodic events generated by random flows ⋮ Weak mixing for locally compact quantum groups ⋮ Dilations of semigroups on von Neumann algebras and noncommutative \(L^{p}\)-spaces ⋮ Eberlein weak almost periodic solutions for a class of integro-differential equations with infinite delay ⋮ A proof of a sumset conjecture of Erdős ⋮ Quantum dynamical semigroups and decoherence ⋮ Weak asymptotic almost periodicity for semigroups of operators ⋮ Existence and exponential stability of almost automorphic mild solutions for stochastic functional differential equations ⋮ Relative compactness of orbits and geometry of Banach spaces ⋮ Amenability of representations and invariant Hahn-Banach theorems ⋮ Joint ergodicity for group actions ⋮ Almost periodicity in Fréchet spaces ⋮ Convergence theorems for weakly almost periodic Markov operators ⋮ Fourier analysis of arithmetical functions ⋮ Reiterated homogenization of nonlinear pseudo monotone degenerate parabolic operators ⋮ Invariant subspaces in the theory of operators and theory of functions ⋮ Weakly almost periodic representations of semigroups by Markov operators ⋮ Decomposition of positive definite functions defined on a neighbourhood of the identity ⋮ Two unsolved problems on almost periodic type functions ⋮ Weak almost periodicity on \(C^*\)-algebras ⋮ Notes on compact semigroups with identity ⋮ Universal mapping properties of semigroup compactifications ⋮ Semigroup compactifications of Zappa products ⋮ A Bohr-like compactification and summability of Fourier series ⋮ Left mean-ergodicity, fixed points, and invariant means ⋮ The structure of semitopological monoids on compact connected manifolds ⋮ Weakly mixing properties of semigroups of linear operators ⋮ Stability of Individual Elements Under One-Parameter Semigroups ⋮ Category theorems for stable semigroups ⋮ A remark on almost periodic transition operators ⋮ The decomposition of certain group representations ⋮ Splitting-off of the boundary spectrum for almost-periodic operators and representations of semigroups ⋮ Über das Spektrum von Verbandshomomorphismen in Banach-Verbänden ⋮ Weak convergence and weak compactness in the space of almost periodic functions on the real line ⋮ The Maak compactification of a dense subsemigroup ⋮ Some topological properties of weakly almost periodic mappings ⋮ The weakly almost periodic compactification: another approach ⋮ Asymptotic almost periodicity and motions of semigroups of operators ⋮ Spectral theory of almost periodic representations of semigroups ⋮ Weak almost periodicity and the strong ergodic limit theorem for contraction semigroups ⋮ The Banach algebras generated by representations of Abelian semigroups ⋮ Almost periodic functions on semigroups ⋮ A further application of the deLeeuw-Glickstein theorem ⋮ Weakly irreducible semigroups of linear contraction on \(C(X)\) ⋮ Averaging sequences and modulated ergodic theorems for weakly almost periodic group representations ⋮ Local almost periodicity and direct limits of semigroup compactifications ⋮ Bernoulli measure algebras ⋮ Application of abstract semigroup theory to the asymptotic behavior of \(C_0\)-semigroups ⋮ Amenability and Hahn-Banach extension property for set valued mappings ⋮ Spectral theory of group representations and their nonstandard hull ⋮ The operator equation \(AX-XB=C\) with unbounded operators \(A\) and \(B\) and related abstract Cauchy problems ⋮ Existence and asymptotic behavior of solutions of semilinear Cauchy problems with non dense domain via extrapolation spaces ⋮ Stability and asymptotic behavior of systems with multi-time ⋮ Weakly Almost Periodic Functions and Fourier-Stieltjes Algebras of Locally Compact Groups ⋮ Construction and uniqueness of the C*-Weyl algebra over a general pre-symplectic space ⋮ Semigroup Compactifications of Semidirect Products ⋮ Disjointness for measurably distal group actions and applications ⋮ Compactifications of locally compact groups and quotients ⋮ A Tannaka–Krein extension theorem for topological semigroups ⋮ Eberlein-weakly almost periodic solutions for some partial functional differential equation with infinite delay ⋮ Almost periodicity and stability for solutions to networks of beams with structural damping ⋮ Stepanov Eberlein almost periodic functions and applications ⋮ A Fixed Point Theorem-Free Approach to Weak Almost Periodicity ⋮ Tensor Products and Almost Periodicity ⋮ Triangles in Cartesian Squares of Quasirandom Groups ⋮ The universal nilpotent group compactification of a semigroup ⋮ Topologically Stationary Locally Compact Groups and Amenability ⋮ Compactifications of semitopological semigroups ⋮ Amenability and invariant subspaces ⋮ Stability and almost periodicity of solutions of ill-posed abstract Cauchy problems ⋮ Unnamed Item ⋮ Operator Semigroup Compactifications ⋮ Unnamed Item ⋮ A semigroup associated with an invariant measure on a transformation group ⋮ Scalarly weakly almost periodic distal representations are strongly almost periodic ⋮ Unnamed Item ⋮ Invariant Means on Locally Compact Semigroups ⋮ Ergodic Theorems for Semigroups of Operators ⋮ On the cohomology of weakly almost periodic group representations ⋮ Compactifications of Locally Compact Groups and Closed Subgroups ⋮ Common Fixed Points for Semigroups of Mappings ⋮ Eberlein-weakly almost periodic (in Stepanov-like sense) functions and application ⋮ On semitopological compactifications of non-Abelian groups ⋮ Banach Representations and Affine Compactifications of Dynamical Systems ⋮ Semigroup compactification of projective limits of topological semigroups ⋮ Integration of Vector-Valued Pseudo-Almost Periodic Functions ⋮ Semigroup compactification of projective limits of topological semigroups ⋮ Topological dynamics ⋮ The set of idempotents in the weakly almost periodic compactification of the integers is not closed ⋮ Invariant Means on Almost Periodic Functions and Equicontinuous Actions ⋮ Stability of semigroups commuting with a compact operator ⋮ Asymptotic behaviour of viscoelastic composites with almost periodic microstructures ⋮ Abstract dynamical systems with an application to operators with discrete spectrum ⋮ Abstract dynamical systems with an application to operators with discrete spectrum ⋮ Weakly almost periodic functionals on certain Banach algebras ⋮ Ergodic theory for quantum semigroups ⋮ Vector-valued pseudo almost periodic functions ⋮ Weakly Compact Groups of Operators ⋮ Algebras of Functions on Semitopological Left-Groups ⋮ Conditionally Compact Semitopological One-Parameter Inverse Semigroups of Partial Isometries ⋮ Weakly almost periodic topologies, idempotents and ideals ⋮ A generalization of the mean ergodic theorem in banach spaces

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:774973&oldid=12696666"