On ideal of joint topological divisors of zero
On ideals consisting of joint topological divisors of zero
On ideals consisting of topological zero divisors
The class ω(A) of ideals consisting of topological zero divisors of a commutative Banach algebra A is studied. We prove that the maximal ideals of the class ω(A) are of codimension one.
On Integral Representation and the Choquet Boundary for Convolution Algebras of Measures.
On Liouville F-Algebras
On maximal ideals in commutative m-convex algebras
On non-removable ideals in commutative locally convex algebras
On permanent radicals in commutative locally convex algebras
On ring derivations and quadratic functionals.
On the ideal structure of algebras of LMC-algebra valued functions
Let X be a completely regular topological space and A a commutative locally m-convex algebra. We give a description of all closed and in particular closed maximal ideals of the algebra C(X,A) (= all continuous A-valued functions defined on X). The topology on C(X,A) is defined by a certain family of seminorms. The compact-open topology of C(X,A) is a special case of this topology.
On the ideal structure of commutative Banach algebras
On The Symmetric Quaternionic Banach Algebras, I (Geljfand Theory)
On the Thickness of the Shilov Boundary.
On uniformly continuous operators and some weight-hyperbolic function Banach algebra.
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
Partitions of spectral sets
Picard's theorem, Mittag-Leffler methods, and continuity of characters on Fréchet algebras
Pointwise multiplication operators on weighted Banach spaces of analytic functions
For a wide class of weights we find the approximative point spectrum and the essential spectrum of the pointwise multiplication operator , , on the weighted Banach spaces of analytic functions on the disc with the sup-norm. Thus we characterize when is Fredholm or is an into isomorphism. We also study cyclic phenomena for the adjoint map .
Polynomial identification in uniform and operator algebras.