All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 4 Next

Displaying 61 – 80 of 493

Showing per page

On character amenable Banach algebras

Z. Hu, M. Sangani Monfared, T. Traynor (2009)

Studia Mathematica

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 characterized subgroups of Abelian topological groups X and the group of all X -valued null sequences

S. S. Gabriyelyan (2014)

Commentationes Mathematicae Universitatis Carolinae

Let X be an Abelian topological group. A subgroup H of X is characterized if there is a sequence 𝐮 = { u n } in the dual group of X such that H = { x ∈ X : ( u n , x ) → 1 } . We reduce the study of characterized subgroups of X to the study of characterized subgroups of compact metrizable Abelian groups. Let c 0 ( X ) be the group of all X -valued null sequences and 𝔲 0 be the uniform topology on c 0 ( X ) . If X is compact we prove that c 0 ( X ) is a characterized subgroup of X ℕ if and only if X ≅ 𝕋 n × F , where n ≥ 0 and F is a finite Abelian group. For every compact Abelian...

On coincidence of p-module of a family of curves and p-capacity on the Carnot group.

Irina Markina (2003)

Revista Matemática Iberoamericana

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...

On compact orbits in singular Kähler spaces

Jörg Winkelmann (1997)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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