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math.FA2025
A simplified formula for the matched projection of an idempotent
Qingxiang Xu
Let be the set of all adjointable operators on a Hilbert -module . For each , denotes its adjoint operator, and is the po…
math.FA2025
The numerical ranges of the generalized quadratic operators
Kangjian Wu, Qingxiang Xu
We investigate the generalized quadratic operator defined by where and are Hilbert spaces, $…
math.FA2025
Convex inequalities in Hilbert -modules
Kangjian Wu, Jia Li, Qingxiang Xu
The Hlder-McCarty inequalities are originally derived in the Hilbert space case and have been generalized via a convex inequality. The main purpose of this paper is t…