On geometrical Aspects of Various Operators and their Orthogonality in Complex Normed Spaces

Abstract

Studies involving orthogonality of operators is an area with various applications with regard to the ever dynamic and emerging technological research outputs. In normed spaces (NS) there are different types of orthogonality. Useful results have come up where operators possessing given conditions are chosen for Range-Kernel orthogonality to be established. However, most of the results have been focussing on one type of orthogonality called the Birkhoff-James which we have given more results on. In this paper we give results on various notions of orthogonality by considering certain geometrical aspects in NS.