Analytic Set-Valued Functions and Spectra.
Analytic Structure and Higher Derivations on Commutative Banach Algebras
Analytic Structure in the Spectra of Certain uF-Algebras.
Analytic structure on locally compact spaces determined by algebras of continuous functions
Anti-Lattices and Prime Sets.
Antisymmetry and analytic structure in the spectrum of a uniform Frechet algebra.
Applications bi-semi-linéaires et commutativité dans les algèbres de Banach involutives
Applications of Functional Analysis to the Solution of Power Series Equations.
Approximate amenability of semigroup algebras and Segal algebras [Book]
Approximate identities in Banach function algebras
In this paper, we shall study contractive and pointwise contractive Banach function algebras, in which each maximal modular ideal has a contractive or pointwise contractive approximate identity, respectively, and we shall seek to characterize these algebras. We shall give many examples, including uniform algebras, that distinguish between contractive and pointwise contractive Banach function algebras. We shall describe a contractive Banach function algebra which is not equivalent to a uniform algebra....
Approximate Regularity of Commutative Beurling Algebras and Korovkin Approximation.
Approximately normal function algebras which are local
Approximation des fonctions analytiques avec croissance
Approximation theorems for compactifications
We shall show several approximation theorems for the Hausdorff compactifications of metrizable spaces or locally compact Hausdorff spaces. It is shown that every compactification of the Euclidean n-space ℝⁿ is the supremum of some compactifications homeomorphic to a subspace of . Moreover, the following are equivalent for any connected locally compact Hausdorff space X: (i) X has no two-point compactifications, (ii) every compactification of X is the supremum of some compactifications whose remainder...
Arzela - Ascoli's Theorem for Riemann - Integrable Functions on Compact Spaces.
Aspects of the theory of derivations
We survey some old and new results in the theory of derivations on Banach algebras. Although our overview is broad ranging, our principal interest is in recent results concerning conditions on a derivation implying that its range is contained in the radical of the algebra.
Associative and Lie subalgebras of finite codimension
Automatic continuity in algebras of differentiable functions.
Automatische Stetigkeitseigenschaften einiger Klassen linearer Operatoren.
Automorphisms and derivations of a Fréchet algebra of locally integrable functions
We find representations for the automorphisms, derivations and multipliers of the Fréchet algebra of locally integrable functions on the half-line . We show, among other things, that every automorphism θ of is of the form , where D is a derivation, X is the operator of multiplication by coordinate, λ is a complex number, a > 0, and is the dilation operator (, ). It is also shown that the automorphism group is a topological group with the topology of uniform convergence on bounded...