On a covering group theorem and its applications.
On -Kasch spaces
If is a Tychonoff space, its ring of real-valued continuous functions. In this paper, we study non-essential ideals in . Let be a infinite cardinal, then is called -Kasch (resp. -Kasch) space if given any ideal (resp. -ideal) with then is a non-essential ideal. We show that is an -Kasch space if and only if is an almost -space and is an -Kasch space if and only if is a pseudocompact and almost -space. Let denote the socle of . For a topological space with only...
On a New Segal Algebra.
On an Estimate of Axler and Shapiro.
On Banach algebras satisfying a spectral maximum principle
On certain products of Banach algebras with applications to harmonic analysis
Given Banach algebras A and B with spectrum σ(B) ≠ ∅, and given θ ∈ σ(B), we define a product , which is a strongly splitting Banach algebra extension of B by A. We obtain characterizations of bounded approximate identities, spectrum, topological center, minimal idempotents, and study the ideal structure of these products. By assuming B to be a Banach algebra in ₀(X) whose spectrum can be identified with X, we apply our results to harmonic analysis, and study the question of spectral synthesis,...
On completeness with respect to a Carathéodory-like metric
On dense ideals of C*-algebras and generalizations of the Gelfand-Naimark Theorem
We develop the theory of Segal algebras of commutative C*-algebras, with an emphasis on the functional representation. Our main results extend the Gelfand-Naimark Theorem. As an application, we describe faithful principal ideals of C*-algebras. A key ingredient in our approach is the use of Nachbin algebras to generalize the Gelfand representation theory.
On Discontinuous Homomorphisms of L1(G).
On essential sets of function algebras in terms of their orthogonal measures
In the present note, we characterize the essential set of a function algebra defined on a compact Hausdorff space in terms of its orthogonal measures on .
On functional representation of locally -pseudoconvex algebras.
On Liouville F-Algebras
On maximal and complete regions
On maximal ideals in commutative m-convex algebras
On multiplication in spaces of continuous functions
We introduce and examine the notion of dense weak openness. In particular we show that multiplication in C(X) is densely weakly open whenever X is an interval in ℝ.
On neighborhoods of the Kuratowski imbedding beyond the first extremum of the diameter functional
On Relative Commutants in Tensor Products of C*-algebras.
On ring derivations and quadratic functionals.
On Some Properties of Functions of Generalized Variation.
On Split Faces and Function Algebras.