THE NONCOMMUTATIVE l1-l2 INEQUALITY FOR HILBERT C*-MODULES AND THE EXACT CONSTANT
| dc.contributor.author | Mahesh Krishna, K.M. | |
| dc.contributor.author | Johnson, P.S. | |
| dc.date.accessioned | 2026-02-04T12:28:30Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | Let A be a unital C*-algebra. Then it follows that (Formula Presented) By modifications of arguments of Botelho-Andrade, Casazza, Cheng, and Tran given in 2019, for certain n-tuple x = (Formula Presented), we give a method to compute a positive element cx in the C*-algebra A such that the equality (Formula Presented) holds. We give an application for the integral of Kasparov. We also derive a formula for the exact constant for the continuous l<inf>1</inf> - l<inf>2</inf> inequality. © 2022. Kyungnam University Press | |
| dc.identifier.citation | Nonlinear Functional Analysis and Applications, 2022, 27, 2, pp. 249-259 | |
| dc.identifier.issn | 12291595 | |
| dc.identifier.uri | https://doi.org/10.22771/nfaa.2022.27.02.03 | |
| dc.identifier.uri | https://idr.nitk.ac.in/handle/123456789/22781 | |
| dc.publisher | Kyungnam University Press | |
| dc.subject | C,-algebra | |
| dc.subject | Hilbert c,-module. | |
| dc.title | THE NONCOMMUTATIVE l1-l2 INEQUALITY FOR HILBERT C*-MODULES AND THE EXACT CONSTANT |