Year: 2023
Type: preprint
Abstract: In this paper, we prove that every continuous Jordan multiplier T from a C*-algebra or group algebra A into a Banach A-bimodule X is exact a multiplier. We also characterize a continuous linear map on C*-algebras and standard operator algebras through the action on zero products. Additionally, we show that every continuous local multiplier T from a Banach algebra A with the property $(\mathbb{B})$ into a Banach A-bimodule X is a multiplier. 2010 Mathematics Subject Classification. Primary 47B47, 47B49 Secondary 15A86, 46H25.
Source: Research Square
Authors: Abbas Zivari-Kazempour, Ahmad Minapoor
Institution: Ayatollah Boroujerdi University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6945052873