arXiv:2301.08471 Abstract | arXiv Analytics

arXiv:2301.08471 [math.FA]Abstract References Reviews Resources

A geometric characterization of range-kernel complementarity

Dimosthenis Drivaliaris, Nikos Yannakakis

Published 2023-01-20Version 1

We show that a bounded linear operator on a Banach space with closed range has range-kernel complementarity if and only if its generalized amplitude is less than $\pi$. An application to the strong convergence of the iterations of a bounded linear operator is also given.

Categories: math.FA

Subjects: 47A05, 47A10, 46C50

Keywords: range-kernel complementarity, geometric characterization, bounded linear operator, banach space, strong convergence

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