TY - JOUR
T1 - On (m, C)-Isometric Operators
AU - Chō, Muneo
AU - Ko, Eungil
AU - Lee, Ji Eun
N1 - Publisher Copyright:
© 2016, Springer International Publishing.
PY - 2016/12/1
Y1 - 2016/12/1
N2 - In this paper we study the spectral properties of (m, C)-isometric operators. In particular, if T∈ L(H) is (m, C)-isometric operators, then the power of (m, C)-isometric operators is also (m, C)-isometric operators. Moreover, if T∗ has the single-valued extension property, then T has the single-valued extension property. Finally, we investigate conditions for (m, C)-isometric operators to be (1, C)-isometric operators.
AB - In this paper we study the spectral properties of (m, C)-isometric operators. In particular, if T∈ L(H) is (m, C)-isometric operators, then the power of (m, C)-isometric operators is also (m, C)-isometric operators. Moreover, if T∗ has the single-valued extension property, then T has the single-valued extension property. Finally, we investigate conditions for (m, C)-isometric operators to be (1, C)-isometric operators.
KW - (m, C)-Isometric operator
KW - Conjugation operator
KW - Single-valued extension property
UR - http://www.scopus.com/inward/record.url?scp=84962168909&partnerID=8YFLogxK
U2 - 10.1007/s11785-016-0549-0
DO - 10.1007/s11785-016-0549-0
M3 - Article
AN - SCOPUS:84962168909
VL - 10
SP - 1679
EP - 1694
JO - Complex Analysis and Operator Theory
JF - Complex Analysis and Operator Theory
SN - 1661-8254
IS - 8
ER -