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This study aims to obtain a lower bound on the eigenvalue of the smallest modulus in a general weighted regular Sturm-Liouville problem with mixed boundary conditions. The problem is expressed as -u′′(x) + q(x)u(x) = λr(x)u(x) over the interval [a,b] with u′(a) = u(b) = 0. In 1988 Mingarelli [31]...

A commutatively ordered Banach algebra (COBA) is a complex unital Banach algebra A containing a subset C, called an algebra c-cone, such that C contains the unit of A and is closed under addition, positive scalar multiplication and multiplication by commuting positive elements. If the...

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...

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...