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For two Banach algebras and ℬ, an interesting product $\times_{θ} ℬ$ , called the θ-Lau product, was recently introduced and studied for some nonzero characters θ on ℬ. Here, we characterize some notions of amenability as approximate amenability, essential amenability, n-weak amenability and cyclic amenability between and ℬ and their θ-Lau product.

Some properties of groups without the property P1.

V. Losert (1979)

Commentarii mathematici Helvetici

Some Remarks on Invariant Means.

G.A. Margulis (1980)

Monatshefte für Mathematik

Some results on $A_{p} (G)$ submodules of $P M_{p} (G)$

Edmond E. Granirer (1987)

Colloquium Mathematicae

Spectrum of commutative Banach algebras and isomorphism of C*-algebras related to locally compact groups

Zhiguo Hu (1998)

Studia Mathematica

Let A be a semisimple commutative regular tauberian Banach algebra with spectrum $Σ_{A}$ . In this paper, we study the norm spectra of elements of $\bar{s p a n} Σ_{A}$ and present some applications. In particular, we characterize the discreteness of $Σ_{A}$ in terms of norm spectra. The algebra A is said to have property (S) if, for all $φ \in \bar{} Σ_{A} 0$ , φ has a nonempty norm spectrum. For a locally compact group G, let $ℳ_{2}^{d} (Ĝ)$ denote the C*-algebra generated by left translation operators on $L^{2} (G)$ and $G_{d}$ denote the discrete group G. We prove that the Fourier...

Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform.

Sundaram Thangavelu (1991)

Revista Matemática Iberoamericana

The aim of this paper is to study mean value operators on the reduced Heisenberg group Hn/Γ, where Hn is the Heisenberg group and Γ is the subgroup {(0,2πk): k ∈ Z} of Hn.

Strong continuity of invariant probability charges

Harald Luschgy, Sławomir Solecki (2004)

Colloquium Mathematicae

Consider a semigroup action on a set. We derive conditions, in terms of the induced action of the semigroup on {0,1}-valued probability charges, which ensure that all invariant probability charges are strongly continuous.

Strongly invariant means on commutative hypergroups

Rupert Lasser, Josef Obermaier (2012)

Colloquium Mathematicae

We introduce and study strongly invariant means m on commutative hypergroups, $m (T_{x} φ \cdot ψ) = m (φ \cdot T_{x ̃} ψ)$ , x ∈ K, $φ, ψ \in L^{\infty} (K)$ . We show that the existence of such means is equivalent to a strong Reiter condition. For polynomial hypergroups we derive a growth condition for the Haar weights which is equivalent to the existence of strongly invariant means. We apply this characterization to show that there are commutative hypergroups which do not possess strongly invariant means.

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Displaying 1 – 19 of 19

Semigroup compactifications by generalized distal functions and a fixed point theorem.

Semi-groupes de Feller invariants sur les espaces homogènes non moyennables.

Some aspects of abstract harmonic analysis.

Some aspects of harmonic analysis on free groups

SOME GENERAL RESULTS ON FIXED POINTS AND INVARIANT MEANS.

Some notions of amenability for certain products of Banach algebras

Some properties of groups without the property P1.

Some Remarks on Invariant Means.

Some results on $A_{p} (G)$ submodules of $P M_{p} (G)$

Spectrum of commutative Banach algebras and isomorphism of C*-algebras related to locally compact groups

Spherical means on the Heisenberg group and a restriction theorem for the symplectic Fourier transform.

Strong continuity of invariant probability charges

Strongly invariant means on commutative hypergroups

Structure of function algebras on foliated manifolds.

Subspaces of $L_{\infty} (G)$ with unique topological left invariant mean

Suites uniformément distribuées et fonctions faiblement presque-périodiques

Sur certaines propriétés des représentations unitaires des groups localement compacts

Sur certains éléments ergodiques dans $l^{\infty} (G)$

Sur un théorème de Day, un théorème de Mazur-Orlicz et une généralisation de quelques théorèmes de Silverman

Currently displaying 1 – 19 of 19