TY - JOUR
T1 - On the generalized mean transforms of complex symmetric operators
AU - Benhida, Chafiq
AU - Chō, Muneo
AU - Ko, Eungil
AU - Lee, Ji Eun
N1 - Funding Information:
The authors wish to thank the referees for their invaluable comments on the original draft. C. Benhida was partially supported by Labex CEMPI (ANR-11-LABX-0007-01). M. Chō is partially supported by Grant-in-Aid Scientific Research no. 15K04910. E. Ko was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2019R1F1A1058633). J. E. Lee was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2019R1A2C1002653).
Publisher Copyright:
© 2019, Tusi Mathematical Research Group (TMRG).
PY - 2020/7/1
Y1 - 2020/7/1
N2 - In this paper, we prove that if T∈ L(H) is complex symmetric, then its generalized mean transform T^(t)(t≠0) of T is also complex symmetric. Next, we consider complex symmetry property of the mean transform T^ (0) of truncated weighted shift operators. Finally, we study properties of the generalized mean transform of skew complex symmetric operators.
AB - In this paper, we prove that if T∈ L(H) is complex symmetric, then its generalized mean transform T^(t)(t≠0) of T is also complex symmetric. Next, we consider complex symmetry property of the mean transform T^ (0) of truncated weighted shift operators. Finally, we study properties of the generalized mean transform of skew complex symmetric operators.
KW - Complex symmetric operator
KW - Generalized mean transform
KW - Skew-complex symmetric operator
UR - http://www.scopus.com/inward/record.url?scp=85079830250&partnerID=8YFLogxK
U2 - 10.1007/s43037-019-00041-1
DO - 10.1007/s43037-019-00041-1
M3 - Article
AN - SCOPUS:85079830250
VL - 14
SP - 842
EP - 855
JO - Banach Journal of Mathematical Analysis
JF - Banach Journal of Mathematical Analysis
SN - 1735-8787
IS - 3
ER -