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An extended quasi-metric q on a nonempty set X without any assumed structure is a distance functional that satis es the usual properties of a quasi-metric except that it can assume values of in nity, in addition to non-negative real values. Given a quasi-metrizable space X we exhibit a universal...

In this paper we will be considering two measures on sorae measure space (X, A). For general p > o we can consider the tiro norms |jf|[p,y and }|fj|p,v. We are interested in conditions on y and v that make ||f||p, y - | [f | |p,v for all f in sorae class of functions, i.e. when there exist...

The work presented here is a survey of some known results in functional analysis, particularly in the field of Operator theory. The study begins with definitions of linear spaces and some topological results which form the necessary background. Chapter two is the heart of the work and deals with...