capsaicin 发表于 2025-4-1 05:43:30
Central Power Values of Generalized Derivation and Structure of Unital Banach Algebra,sfying one of the following conditions, is investigated in this paper : (i) .; (ii) .; (iii) .; (iv) .; (v) .; (vi) .; (vii) .; (viii) . for all ., . in some suitable non empty subset of ., where . is a positive integer such that .. Moreover, we give a characterization of the map .. Finally it is shMyelin 发表于 2025-4-1 08:44:27
Local and 2-local Lie-type Derivations of Operator Algebras on Banach Spaces, . and .(.) be the set of all finite rank operators in .(.). A subalgebra . of .(.) is called a standard operator algebra if . contains .(.). Suppose that . is a map from . into .(.). Firstly, we prove that if . is a Lie-type derivation, then . has the standard form. Furthermore, we show that if . iPAEAN 发表于 2025-4-1 12:38:23
http://reply.papertrans.cn/15/1496/149592/149592_63.pngGLUE 发表于 2025-4-1 16:20:05
http://reply.papertrans.cn/15/1496/149592/149592_64.pngAmorous 发表于 2025-4-1 20:40:03
On a Functional Identity Involving Power Values of Generalized Skew Derivations on Lie Ideals,-central Lie ideal of ., . positive fixed integers. If .for all ., then there exists . such that ., for any ., with ., unless when . and ., the ring of . matrices over a field .. We will also provide a generalization of the previous result for semiprime rings.