Hermitian projections on some Banach spaces and related topics
In the setting of various complex Banach spaces we consider the questions of when a square of a Hermitian operator is also Hermitian, and when a Hermitian operator has a Hermitian square root. We also describe the structure of Hermitian projections and Hermitian square roots of the identity operator.
Linear Algebra and Its Applications
Botelho, F., Dey, P., & Ilišević, D. (2020). Hermitian projections on some Banach spaces and related topics. Linear Algebra and Its Applications, 598, 92-104. https://doi.org/10.1016/j.laa.2020.03.036