Ob odnoj interpolacionnoj zadače v klasse funkcij H^{p} v poluploskosti
On a covering group theorem and its applications.
On a generalization of the Corona problem.
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 a subalgebra of the algebra C([0,1]) whose maximal ideal space is a torus
On a theorem of Gleason, Kahane and Żelazko
On a theorem of Lebow and Mlak for several commuting operators
On an Estimate of Axler and Shapiro.
On Banach algebras satisfying a spectral maximum principle
On certain class of non-removable ideals in Banach algebras
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 Complete Regularity of Group Algebras.
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 differential subspaces of Cartesian space
On Discontinuous Homomorphisms of L1(G).
On Dominating Sequences in the Unit Disc.
On domination and extensions of Banach algebras
On domination and separation of ideals in commutative Banach algebras