On the spectrum of a one-parameter strongly continous representation.
On the spectrum of A(Ω) and
We study some properties of the maximal ideal space of the bounded holomorphic functions in several variables. Two examples of bounded balanced domains are introduced, both having non-trivial maximal ideals.
On the spectrum of C1b (E).
On The Symmetric Quaternionic Banach Algebras, I (Geljfand Theory)
On the theorems of Hartogs and Bishop
On the Thickness of the Shilov Boundary.
On the uniqueness of uniform norms and C*-norms
We prove that a semisimple, commutative Banach algebra has either exactly one uniform norm or infinitely many uniform norms; this answers a question asked by S. J. Bhatt and H. V. Dedania [Studia Math. 160 (2004)]. A similar result is proved for C*-norms on *-semisimple, commutative Banach *-algebras. These properties are preserved if the identity is adjoined. We also show that a commutative Beurling *-algebra L¹(G,ω) has exactly one uniform norm if and only if it has exactly one C*-norm; this is...
On the unit-1-stable rank of rings of analytic functions.
In this paper we prove a general result for the ring H(U) of the analytic functions on an open set U in the complex plane which implies that H(U) has not unit-1-stable rank and that has some other interesting consequences. We prove also that in H(U) there are no totally reducible elements different from the zero function.
On the unit-1-stable rank of rings of analytic functions.
We identify the intermediate space of a complex interpolation family -in the sense of Coifman, Cwikel, Rochberg, Sagher and Weiss- of Lp spaces with change of measure, for the complex interpolation method associated to any analytic functional.
On topological algebra sheaves of a nuclear type
On topologically nilpotent algebras
On topologizable algebras
On Uniform Continuity of the Spectral Radius in Banach Algebras.
On uniformly continuous operators and some weight-hyperbolic function Banach algebra.
On weakly compact operators from some uniform algebras
On z◦ -ideals in C(X)
An ideal I in a commutative ring R is called a z°-ideal if I consists of zero divisors and for each a ∈ I the intersection of all minimal prime ideals containing a is contained in I. We characterize topological spaces X for which z-ideals and z°-ideals coincide in , or equivalently, the sum of any two ideals consisting entirely of zero divisors consists entirely of zero divisors. Basically disconnected spaces, extremally disconnected and P-spaces are characterized in terms of z°-ideals. Finally,...
On Α Bochner΄s Type Theorem in Topological 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).
Operators on some function spaces
Operator-valued analytic functions of constant norm