Pseudo-\(n\)-multipliers and pseudo-\(n\)-Jordan multipliers. (English) Zbl 07845435
Summary: In this paper, we introduce the concepts of pseudo-\(n\)-multiplier and pseudo-\(n\)-Jordan multiplier on Banach algebras and compare those with the classical notions of \(n\)-multiplier and \(n\)-Jordan multiplier. We show that under special hypotheses every pseudo-\((n+1)\)-Jordan multiplier is a pseudo-\(n\)-Jordan multiplier and vice versa.
MSC:
| 47B48 | Linear operators on Banach algebras |
| 46L05 | General theory of \(C^*\)-algebras |
| 46H25 | Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) |
Keywords:
pseudo-\(n\)-Jordan multiplier; \(n\)-Jordan multiplier; unitary \(A\)-bimodule; Jordan coefficientReferences:
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