The structure of ideals in the Banach algebra of Lipschitz functions over valued fields
The structure of L-ideals of measure algebras. II
The structure of polynomial ideals in the algebra of entire functions
The Theorem of Gleason-Kahane-Zelazko in a Commutative Symmetric Banach Algebra.
Topología grassmaniana sobre los ideales cerrados de codimensión finita de un álgebra de Banach conmutativa.
Topologies on the Extreme Points of Compact Convex Sets II.
Topologies on the space of ideals of a Banach algebra
Some topologies on the space Id(A) of two-sided and closed ideals of a Banach algebra are introduced and investigated. One of the topologies, namely , coincides with the so-called strong topology if A is a C*-algebra. We prove that for a separable Banach algebra coincides with a weaker topology when restricted to the space Min-Primal(A) of minimal closed primal ideals and that Min-Primal(A) is a Polish space if is Hausdorff; this generalizes results from [1] and [5]. All subspaces of Id(A)...
Trivial generators for nontrivial fibres
Pseudoconvex domains are exhausted in such a way that we keep a part of the boundary fixed in all the domains of the exhaustion. This is used to solve a problem concerning whether the generators for the ideal of either the holomorphic functions continuous up to the boundary or the bounded holomorphic functions, vanishing at a point in where the fibre is nontrivial, has to exceed . This is shown not to be the case.
Un example d'algèbre de Banach commutative radicale a unité approchée bornée sans multiplicateur non trival.
Un exemple de compact polynomialement convexe dans
Une note sur la noethérianité
Uniqueness, strong forms of uniqueness and negative powers of contractions
Weak multiplicative operators on function algebras without units
For a function algebra A let ∂A be the Shilov boundary, δA the Choquet boundary, p(A) the set of p-points, and |A| = |f|: f ∈ A. Let X and Y be locally compact Hausdorff spaces and A ⊂ C(X) and B ⊂ C(Y) be dense subalgebras of function algebras without units, such that X = ∂A, Y = ∂B and p(A) = δA, p(B) = δB. We show that if Φ: |A| → |B| is an increasing bijection which is sup-norm-multiplicative, i.e. ||Φ(|f|)Φ(|g|)|| = ||fg||, f,g ∈ A, then there is a homeomorphism ψ: p(B) → p(A) with respect...
Weak* properties of weighted convolution algebras II
We show that if ϕ is a continuous homomorphism between weighted convolution algebras on ℝ⁺, then its extension to the corresponding measure algebras is always weak* continuous. A key step in the proof is showing that our earlier result that normalized powers of functions in a convolution algebra on ℝ⁺ go to zero weak* is also true for most measures in the corresponding measure algebra. For some algebras, we can determine precisely which measures have normalized powers converging to zero weak*. We...
Weak spectral synthesis in Fourier algebras of coset spaces
Let G be a locally compact group, K a compact subgroup of G and A(G/K) the Fourier algebra of the coset space G/K. Applying results from [E. Kaniuth, Weak spectral synthesis in commutative Banach algebras, J. Funct. Anal. 254 (2008), 987-1002], we establish injection and localization theorems relating weak spectral sets and weak Ditkin sets for A(G/K) to such sets for A(H/H ∩ K), where H is a closed subgroup of G. We also prove some results towards the analogue of Malliavin's theorem for weak spectral...
Weakly amenable groups and the RNP for some Banach algebras related to the Fourier algebra
It is shown that if G is a weakly amenable unimodular group then the Banach algebra , where is the Figà-Talamanca-Herz Banach algebra of G, is a dual Banach space with the Radon-Nikodym property if 1 ≤ r ≤ max(p,p’). This does not hold if p = 2 and r > 2.
Zum verallgemeinerten Wienerschen Satz für diskrete nilpotente Gruppen der Klasse 3.
Алгебра непрерывных на сфере аналитических функций с совершенным множеством особенностей, и полиномиальная аппроксимация на толстых компактах в
Банаховы алгебры мер на прямой
Все замкнутые идеалы алгебры дивизориальны