B. Basit

collaborators

3 papers

math.FA2012

Dimension of spaces of polynomials on abelian topological semigroups

Bolis Basit, A. J. Pryde

In this paper we study (continuous) polynomials $p : J \to X$ , where $J$ is an abelian topological semigroup and $X$ is a topological vector space. If $J$ is a subsemigroup with non-…

math.FA2012

Equality of uniform and Carleman spectra for bounded measurable functions

Bolis Basit, Alan J. Pryde

In this paper we study various types of spectra of functions $ϕ:\jj\to X$, where $\jj\in\{\r_+,\r\}$ and $X$ is a complex Banach space. We show that uniform spectrum defined in [15…

math.FA2011

Eberlein almost periodic functions that are not pseudo almost periodic

Bolis Basit, Hans Günzler

We construct Eberlein almost periodic functions $f_{j} : J \to H$ so that $∣∣ f_{1} (\cdot) ∣∣$ is not ergodic and thus not Eberlein almost periodic and $∣∣ f_{2} (.) ∣∣$ is Eberlein almost p…