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math.FA2012
Dimension of spaces of polynomials on abelian topological semigroups
Bolis Basit, A. J. Pryde
In this paper we study (continuous) polynomials , where is an abelian topological semigroup and is a topological vector space. If 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 is a complex Banach space. We show that uniform spectrum defined in [15…
math.FA2012
Polynomial ergodicity and asymptotic behaviour of unbounded solutions of abstract evolution equations
Bolis Basit, A. J. Pryde
In this paper we develop the notion of ergodicity to include functions dominated by a weight . Such functions have polynomial means and include, amongst many others, the -alm…