A note on the joint spectrum in commutative Banach algebras
A note on the paper “The Poulsen Simplex” of Lindenstrauss, Olsen and Sternfeld
It is proved that for any , where is the Poulsen simplex, so that and , are smooth points, there is a rotation of carrying in .
A note on Toeplitz operators on Bergman spaces
A positivity result and normalization of positive convolution structures.
A real variable characterization of
A remark on functional continuity of certain Fréchet algebras
A remark on linear codimensions of function algebras
A remark on non-existence of an algebra norm for the algebra of continuous functions on a topological space admitting an unbounded continuous function
Let X be any topological space, and let C(X) be the algebra of all continuous complex-valued functions on X. We prove a conjecture of Yood (1994) to the effect that if there exists an unbounded element of C(X) then C(X) cannot be made into a normed algebra.
A remark on supra-additive and supra-multiplicative operators on
M. Radulescu proved the following result: Let be a compact Hausdorff topological space and a supra-additive and supra-multiplicative operator. Then is linear and multiplicative. We generalize this result to arbitrary topological spaces.
A ring of analytic functions, II
A semitopological algebra without proper closed subalgebras
To Czesław Ryll-Nardzewski on his 70th birthday
A simple characterization of commutative -algebras.
A simple proof of the atomic decomposition for , 0 < p ≤ 1
A spectral theory for locally compact abelian groups of automorphisms of commutative Banach algebras
Let A be a commutative Banach algebra with Gelfand space ∆ (A). Denote by Aut (A) the group of all continuous automorphisms of A. Consider a σ(A,∆(A))-continuous group representation α:G → Aut(A) of a locally compact abelian group G by automorphisms of A. For each a ∈ A and φ ∈ ∆(A), the function t ∈ G is in the space C(G) of all continuous and bounded functions on G. The weak-star spectrum is defined as a closed subset of the dual group Ĝ of G. For φ ∈ ∆(A) we define to be the union of all...
A study of various results for a class of entire Dirichlet series with complex frequencies
Let be a class of entire functions represented by Dirichlet series with complex frequencies for which is bounded. Then is proved to be a commutative Banach algebra with identity and it fails to become a division algebra. is also proved to be a total set. Conditions for the existence of inverse, topological zero divisor and continuous linear functional for any element belonging to have also been established.
A sub-regularity inequality for conjugate systems on local fields
A theorem concerning Ditkin's condition
A uniform F-algebra with locally complete spectrum and with nonglobal peak points
A uniqueness property for measures on
A Useful Banach Algebra.