%0 Journal Article %T Right-Existence and Leftª²Existence of Orthogonality in Quasiª²Banach Spaces %A XUE Jian-ming %J Journal of Chongqing Normal University %D 2012 %I Chongqing Normal University %X A class of new generalized orthogonality of quasiª²Banach spaces is given in this paper. It is a generalization of orthogonality. First, the relation of orthogonality and linear functional are introduced. At the same time, a necessary and sufficient condition of orthogonality in quasiª²Banach spaces is given. Namely, let ª«Xª« be a quasiª²Banach spaces on * is equivalent to ª«x¡ÍHª«. The sufficient conditions of rightª²existence and leftª²existence of orthogonality are discussed. Finally, two examples which show that rightª²existence of orthogonality in quasiª²Banach spaces does not exist for all elements are given.(* Indicates a formula, please see the full text) %K quasiª²Banach space %K orthogonality %K hyperplane %K rightª²existence %K leftª²existence %U http://journal.cqnu.edu.cn/1205/pdf/120512.pdf