Hermitian projections on some Banach spaces and related topics

Authors

Fernanda Botelho, University of MemphisFollow
Priyadarshi Dey, University of Memphis
Dijana Ilišević, Sveučilište u Zagrebu, Prirodoslovno - matematički fakultetFollow

Abstract

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.

Publication Title

Linear Algebra and Its Applications

Recommended Citation

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