ON THE JORDAN CENTRALIZER MAPS

Document Type : Original Paper

Authors

1 Department of Mathematics, Kashmar higher education institute, Kashmar, Iran

2 Department of Mathematics, Ferdowsi university of mashhad, Mashhad, Iran

Abstract

‎In this ‎paper, ‎we ‎investigate ‎the ‎structure ‎of ‎Jordan ‎centrali‎zer ‎maps‎ from a unital ‎alg‎ebra ‎$‎A‎$ ‎into a ‎unital‎ ‎‎$‎A‎$‎-bimodule ‎$‎M‎$‎.‎

We applied our results to triangular algebras. In particular, we prove that every ‎

Jordan centralizer map on a triangular algebra is a centralizer map.

Keywords: Centralizer map, Jordan centralizer map, Triangular algebra.

Highlights

B.E. Johnson, Cohomology in Banach algebras, Memoirs of the American Mathematical Society, vol. 127, 1972

O.T. Mewomo, Various notions of amenability in Banach algebras, Expositiones Mathematicae 29 (2011) 283–299

V. Runde, Lectures on amenability, Springer-Verlag, Berlin, Heidelberg, 2002.

V. Runde, Amenable Banach algebras, Springer Monographs in Mathematics, Berlin, 2020.

Keywords

Main Subjects

References

1. Cheng, W. S. Commuting maps of triangular algebras, J. London Math. Soc. 63 (2001) 117-127.
2. Cheng, W. S. Lie derivations of triangular algebras, Linear Multilinear Algebra 51 (2003) 299-310.
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Journal of Advanced Mathematical Modeling
Volume 13, Issue 2 - Serial Number 30
September 2023
Pages 245-249

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History

  • Receive Date: 20 July 2020
  • Revise Date: 01 June 2023
  • Accept Date: 01 July 2023

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