On Split Faces and Function Algebras.
On the Banach algebra .
On the characterization of weak closure in Hilbert space
On the fixed-point property of unital uniformly closed subalgebras of .
On the Lipschitz operator algebras
In a recent paper by H. X. Cao, J. H. Zhang and Z. B. Xu an -Lipschitz operator from a compact metric space into a Banach space is defined and characterized in a natural way in the sence that is a -Lipschitz operator if and only if for each the mapping is a -Lipschitz function. The Lipschitz operators algebras and are developed here further, and we study their amenability and weak amenability of these algebras. Moreover, we prove an interesting result that and are isometrically...
On the product property of the Carathéodory pseudodistance
We prove that, for certain domains , continuous product of domains , the Carathéodory pseudodistance satisfies the following product property
On the Sets of Type VV++
On the solubility of transcendental equations in commutative C*-algebras.
On the spectrum of C1b (E).
On the theorems of Hartogs and Bishop
On topologically nilpotent algebras
On weakly compact operators from some uniform algebras
Operators determining the complete norm topology of C(K)
For any uniformly closed subalgebra A of C(K) for a compact Hausdorff space K without isolated points and , we show that every complete norm on A which makes continuous the multiplication by is equivalent to provided that has no interior points whenever λ lies in ℂ. Actually, these assertions are equivalent if A = C(K).
Partitions of spectral sets
Peak Points for Algebras on Circled Sets.
Pervasive algebras and maximal subalgebras
A uniform algebra A on its Shilov boundary X is maximal if A is not C(X) and no uniform algebra is strictly contained between A and C(X). It is essentially pervasive if A is dense in C(F) whenever F is a proper closed subset of the essential set of A. If A is maximal, then it is essentially pervasive and proper. We explore the gap between these two concepts. We show: (1) If A is pervasive and proper, and has a nonconstant unimodular element, then A contains an infinite descending chain of pervasive...
Pervasive algebras on planar compacts
We characterize compact sets in the Riemann sphere not separating for which the algebra of all functions continuous on and holomorphic on , restricted to the set , is pervasive on .
Polynomial identification in uniform and operator algebras.
Positive multiplication preserves dissipativity in commutative -algebras.
Positive-definite kernels, length functions on groups and a noncommutative von Neumann inequality