@article{10902/38209,
year = {2025},
month = {10},
url = {https://hdl.handle.net/10902/38209},
abstract = {We study operators on the Kalton-Peck Banach space Z2 from various points of view: matrix representations, examples, spectral properties and operator ideals. For example, we prove that there are non-compact, strictly singular operators acting on Z2, but the product of two of them is a compact operator. Among applications, we show that every copy of Z2 in Z2 is complemented, and each semi-Fredholm operator on Z2 has complemented kernel and range, the space Z2 is Z2-automorphic and we give a partial solution to a problem of Johnson, Lindenstrauss and Schechtman about strictly singular perturbations of operators on Z2.},
organization = {The research of the first two authors was supported in part by project PID2019-103961GB funded by MINCIN.},
publisher = {Springer},
publisher = {Israel Journal of Mathematics, 2025, 269(1), 185-212},
title = {Operators on the Kalton–Peck space Z2},
author = {Castillo, Jesús M. F. and González Ortiz, Manuel and Pino, Raúl},
}