On complex symmetric operator matrices

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:406

Article

Jung, Sungeun¹  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 (beta);    Decomposable;    A-Weyl's theorem;   

DOI  :  10.1016/j.jmaa.2013.04.056

来源: Elsevier

【 摘 要 】

An operator T epsilon L (H) is said to be complex symmetric if there exists a conjugation J on H such that T = JT(*)J. In this paper, we find several kinds of complex symmetric operator matrices and examine decomposability of such complex symmetric operator matrices and their applications. In particular, we consider the operator matrix of the form T = [GRAPHICS] where j is a conjugation on H. We show that if A is complex symmetric, JA*J then T is decomposable if and only if A is. Furthermore, we provide some conditions so that a-Weyl's theorem holds for the operator matrix T. Crown Copyright (C) 2013 Published by Elsevier Inc. All rights reserved.

【 授权许可】

Free