On Banach algebras satisfying a spectral maximum principle
On Beurling measure algebras
We show how the measure theory of regular compacted-Borel measures defined on the -ring of compacted-Borel subsets of a weighted locally compact group provides a compatible framework for defining the corresponding Beurling measure algebra , thus filling a gap in the literature.
On Bounded Approximate Units in Ideals of Group Algebras*
On character amenable Banach algebras
We obtain characterizations of left character amenable Banach algebras in terms of the existence of left ϕ-approximate diagonals and left ϕ-virtual diagonals. We introduce the left character amenability constant and find this constant for some Banach algebras. For all locally compact groups G, we show that the Fourier-Stieltjes algebra B(G) is C-character amenable with C < 2 if and only if G is compact. We prove that if A is a character amenable, reflexive, commutative Banach algebra, then A...
On convolution operators with small support which are far from being convolution by a bounded measure
Let be the left convolution operators on with support included in F and denote those which are norm limits of convolution by bounded measures in M(F). Conditions on F are given which insure that , and are as big as they can be, namely have as a quotient, where the ergodic space W contains, and at times is very big relative to . Other subspaces of are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.
On Density Properties of Certain Subgroups with Boundedness Conditions.
On group algebras of nilpotent Lie groups
On Maximal Ideals in Group Algebras of SIN-Groups.
On onesided harmonic analysis in non commutative locally compact groups.
On Primary Ideals in the Group Algebra of a Nilpotent Lie Group.
On some spaces of linear functionals on the algebras for locally compact groups
On the dual of a Commutative signed Hypergroup.
On the size of quotients of function spaces on a topological group
For a non-precompact topological group G, we consider the space C(G) of bounded, continuous, scalar-valued functions on G with the supremum norm, together with the subspace LMC(G) of left multiplicatively continuous functions, the subspace LUC(G) of left norm continuous functions, and the subspace WAP(G) of weakly almost periodic functions. We establish that the quotient space LUC(G)/WAP(G) contains a linear isometric copy of , and that the quotient space C(G)/LMC(G) (and a fortiori C(G)/LUC(G))...
On the Spectrum of Convolution Operators on Groups with Polynomial Growth.
On the Symmetry of Generalized L1-Algebras.
On the uniqueness of uniform norms and C*-norms
We prove that a semisimple, commutative Banach algebra has either exactly one uniform norm or infinitely many uniform norms; this answers a question asked by S. J. Bhatt and H. V. Dedania [Studia Math. 160 (2004)]. A similar result is proved for C*-norms on *-semisimple, commutative Banach *-algebras. These properties are preserved if the identity is adjoined. We also show that a commutative Beurling *-algebra L¹(G,ω) has exactly one uniform norm if and only if it has exactly one C*-norm; this is...
On Weyl's reciprocity between group algebras and their commutants
Operators of Finite Rank in Unitary Representations of Exponential Lie Groups.