TY - JOUR
T1 - ON ∞-COMPLEX SYMMETRIC OPERATORS
AU - Chō, Muneo
AU - Ko, Eungil
AU - Lee, Ji Eun
N1 - Funding Information:
The third author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2016R1A2B4007035).
Publisher Copyright:
© 2017 Glasgow Mathematical Journal Trust.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - In this paper, we study spectral properties and local spectral properties of ∞-complex symmetric operators T. In particular, we prove that if T is an ∞-complex symmetric operator, then T has the decomposition property (δ) if and only if T is decomposable. Moreover, we show that if T and S are ∞-complex symmetric operators, then so is T-S.
AB - In this paper, we study spectral properties and local spectral properties of ∞-complex symmetric operators T. In particular, we prove that if T is an ∞-complex symmetric operator, then T has the decomposition property (δ) if and only if T is decomposable. Moreover, we show that if T and S are ∞-complex symmetric operators, then so is T-S.
UR - http://www.scopus.com/inward/record.url?scp=85013371969&partnerID=8YFLogxK
U2 - 10.1017/S0017089516000550
DO - 10.1017/S0017089516000550
M3 - Article
AN - SCOPUS:85013371969
SN - 0017-0895
VL - 60
SP - 35
EP - 50
JO - Glasgow Mathematical Journal
JF - Glasgow Mathematical Journal
IS - 1
ER -