On scalar extensions and spectral decompositions of complex symmetric operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:384

Article

Jung, Sungeun²  Ko, Eungil²  Lee, Ji Eun¹ 

[1] Ewha Womans Univ, Inst Math Sci, Seoul 120750, South Korea

[2] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea

关键词: Complex symmetric operator;    Property (delta);    Decomposable;    Subscalar;    Spectral decompositions;   

DOI  :  10.1016/j.jmaa.2011.05.056

来源: Elsevier

【 摘 要 】

In this paper we prove that a complex symmetric operator with property (delta) 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. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free