Mahesh Krishna, K.M.Johnson, P.S.2026-02-042022Nonlinear Functional Analysis and Applications, 2022, 27, 2, pp. 249-25912291595https://doi.org/10.22771/nfaa.2022.27.02.03https://idr.nitk.ac.in/handle/123456789/22781Let 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 PressC,-algebraHilbert c,-module.THE NONCOMMUTATIVE l1-l2 INEQUALITY FOR HILBERT C*-MODULES AND THE EXACT CONSTANT