ON SQUARE ROOTS AND QUASI-SQUARE ROOTS OF ELEMENTS OF 2-NORMED ALGEBRAS

Abstract

Abstract. The concept of 2-normed spaces and 2-Banach spacesare considerd as generalization of normed and Banach spaces. Inthe present paper we have studied the existence of square rootsand quasi square roots of some elements of a 2-Banach algebra.Also relation between nth roots and quasi nth root of elements of2-Banach algebras are considered.