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Displaying 61 –
80 of
493
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...
Let be an Abelian topological group.
A subgroup of is characterized
if there is a sequence
in the dual
group of such that
.
We reduce the study of characterized
subgroups of to the study of
characterized subgroups of compact
metrizable Abelian groups.
Let be the group of all
-valued null sequences and
be the uniform
topology on . If is compact
we prove that is a characterized
subgroup of if and only
if , where
and is a finite Abelian
group. For every compact Abelian...
The notion of the extremal length and the module of families of curves has been studied extensively and has given rise to a lot of applications to complex analysis and the potential theory. In particular, the coincidence of the p-module and the p-capacity plays an mportant role. We consider this problem on the Carnot group. The Carnot group G is a simply connected nilpotent Lie group equipped vith an appropriate family of dilations. Let omega be a bounded domain on G and Ko, K1 be disjoint non-empty...
For a complex solvable Lie group acting holomorphically on a Kähler manifold every closed orbit is isomorphic to a torus and any two such tori are isogenous. We prove a similar result for singular Kähler spaces.
Currently displaying 61 –
80 of
493