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Let G be a locally compact group and let π be a unitary representation. We study amenability and H-amenability of π in terms of the weak closure of (π ⊗ π)(G) and factorization properties of associated coefficient subspaces (or subalgebras) in B(G). By applying these results, we obtain some new characterizations of amenable groups.

Characterizations of seminorms given by continuous linear functionals on normed linear spaces and applications to Gel'fand measures.

Akkouchi, Mohamed (2000)

Divulgaciones Matemáticas

Characterizations of those Ideals in L1 (R) which can be Synthesized.

Carl L. DeVito (1973)

Mathematische Annalen

Characterizations of vector-valued weakly almost periodic functions.

Zhang, Chuanyi (2003)

International Journal of Mathematics and Mathematical Sciences

Characterizing Sidon sets by interpolation properties of subsets

Colin C. Graham, Kathryn E. Hare (2008)

Colloquium Mathematicae

Pisier's characterization of Sidon sets as containing proportional-sized quasi-independent subsets is given a sharper form for groups with only a finite number of elements having orders a power of 2. No such improvement is possible for a general Sidon subset of a group having an infinite number of elements of order 2. The method used also gives several sharper forms of Ramsey's characterization of Sidon sets as containing proportional-sized I₀-subsets in a uniform way, again in groups containing...

Characters and inner forms of a quasi-split group over $R$

D. Shelstad (1979)

Compositio Mathematica

Charakterisierung stetiger Faltungshalbgruppen durch das Lévy-Maß.

Arnold Janssen (1979)

Mathematische Annalen

Chu-Dualität und zwei Klassen maximal fastperiodischer Gruppen.

Detlev Poguntke (1976)

Monatshefte für Mathematik

Closed convex hull of set of measurable functions, Riemann-measurable functions and measurability of translations

Michel Talagrand (1982)

Annales de l'institut Fourier

Let $G$ be a locally compact group. Let $L_{t}$ be the left translation in $L^{\infty} (G)$ , given by $L_{t} f (x) = f (t x)$ . We characterize (undre a mild set-theoretical hypothesis) the functions $f \in L^{\infty} (G)$ such that the map $t \to L_{t} f$ from $G$ into $L^{\infty} (G)$ is scalarly measurable (i.e. for $φ \in L^{\infty} (G)^{*}$ , $t \to φ (L_{t} f)$ is measurable). We show that it is the case when $t \to θ (L_{f} t)$ is measurable for each character $θ$ , and if $G$ is compact, if and only if $f$ is Riemann-measurable. We show that $t \to L_{t} f$ is Borel measurable if and only if $f$ is left uniformly continuous.Some of the measure-theoretic tools used there...

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Displaying 21 – 40 of 149

Characterization of Fourier Transforms of Vector Valued Functions and Measures

Characterization of measures in the group C*-algebra of a locally compact group.

Characterization of moment multisequences by a variation of positive definiteness.

Characterization of perfect involution groups.

Characterization of the $L^{p}$ -range of the Poisson transform in hyperbolic spaces $B (𝔽^{n})$ .

Characterization of the range of the Radon transform on homogeneous trees.

Characterization, Structure and Analysis on Abelian ... Groups.

Characterizations of Almost Periodic Strongly Continuous Groupsand Semigroups.

Characterizations of amenable representations of compact groups