in this paper a particular case of z-ideals, called strongly z-ideal, is defined by introducing zero sets in pointfree topology. we study strongly z-ideals, their relation with z-ideals and the role of spatiality in this relation. for strongly z-ideals, we analyze prime ideals using the concept of zero sets. moreover, it is proven that the intersection of all zero sets of a prime ideal of c(l),...

For a constant $alphain left(-frac{pi}{2},frac{pi}{2}right)$,  we definea  subclass of the spirallike functions, $SP_{p}(alpha)$, the setof all functions $fin mathcal{A}$[releft{e^{-ialpha}frac{zf'(z)}{f(z)}right}geqleft|frac{zf'(z)}{f(z)}-1right|.]In  the present paper, we shall give the estimate of the norm of the pre-Schwarzian derivative  $mathrm{T}...

In this article, we introduce the notions of Z-finite representations and Z-separation property for operator Z-systems generating C∗-algebras. We use these to characterize Z-boundary Z-systems. Z-hyperrigidity investigate an analogue version Saskin’s theorem in setting

Our procurement of a system for the 80s brought us into contact with some of the harsh realities of the file systems of the time particularly so as the decision was to go for the then rather new VM/CMS. This led to a second in-house system known rather unimaginatively as the Leeds Filestore, and used at the universities of Reading and Warwick in the UK, and also University College, Dublin, and ...