Local higher derivations on C-algebras are higher derivations

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Naranjani Lila; HASSANI MAHMOUD; Mirzavaziri Madjid

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Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2018 | Volume:9 | Issue:1 Page(s): 111-115

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Title

Local higher derivations on C-algebras are higher derivations

Author(s)

Naranjani Lila | HASSANI MAHMOUD | Mirzavaziri Madjid | Issue Writer Certificate

Keywords

Higher derivation

local higher derivation

derivation

local derivation

Abstract

Let A be a Banach algebra. We say that a sequence fDng1 n=0 of continuous operators form A into A is a local Higher derivation if to each a 2 A there corresponds a continuous Higher derivation fda; ng1 n=0 such that Dn(a) = da; n(a) for each non-negative integer n. We show that if A is a C-algebra then each local Higher derivation on A is a Higher derivation. We also prove that each local Higher derivation on a C-algebra is automatically continuous.

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APA: Copy

Naranjani, Lila, HASSANI, MAHMOUD, & Mirzavaziri, Madjid. (2018). Local higher derivations on C-algebras are higher derivations. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 9(1), 111-115. SID. https://sid.ir/paper/340801/en

Vancouver: Copy

Naranjani Lila, HASSANI MAHMOUD, Mirzavaziri Madjid. Local higher derivations on C-algebras are higher derivations. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2018;9(1):111-115. Available from: https://sid.ir/paper/340801/en

IEEE: Copy

Lila Naranjani, MAHMOUD HASSANI, and Madjid Mirzavaziri, “Local higher derivations on C-algebras are higher derivations,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 9, no. 1, pp. 111–115, 2018, [Online]. Available: https://sid.ir/paper/340801/en

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