@article{f38ba50b21a8400a8893553ac063cac3,
title = "On scalar extensions and spectral decompositions of complex symmetric operators",
abstract = "In this paper we prove that a complex symmetric operator with property (Δ) is subscalar. As a corollary, we get that such operators with rich spectra have nontrivial invariant subspaces. We also provide various relations for spectral decomposition properties between complex symmetric operators and their adjoints.",
keywords = "Complex symmetric operator, Decomposable, Property (Δ), Spectral decompositions, Subscalar",
author = "Sungeun Jung and Eungil Ko and Lee, {Ji Eun}",
note = "Funding Information: ✩ This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) Grant funded by the Korean Government (MEST) (2010-0001983). The third author was supported by the National Research Foundation of Korea Grant funded by the Korean Government (Ministry of Education, Science and Technology) [KRF-2010-355-C00005]. * Corresponding author. E-mail addresses: ssung105@ewhain.net (S. Jung), eiko@ewha.ac.kr (E. Ko), jieun7@ewhain.net (J.E. Lee).",
year = "2011",
month = dec,
day = "15",
doi = "10.1016/j.jmaa.2011.05.056",
language = "English",
volume = "384",
pages = "252--260",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "2",
}