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

Ali Zohri

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.

Keywords


2-normed algebras, square root, quasi square root,2-normed spaces

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