TY - JOUR
T1 - (∞,C)-isometric operators
AU - Chō, Muneo
AU - Ko, Eungil
AU - Lee, Ji Eun
N1 - Funding Information:
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2009-0093827). 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) and this research is partially supported by Grant-in-Aid Scientific Research No. 15K04910.
Publisher Copyright:
© 2017, Element D.O.O. All rights reserved.
PY - 2017/9
Y1 - 2017/9
N2 - In this paper we study properties of (∞,C)-isometric operators. In particular, we prove that if T is an (∞,C)-isometry and Q is a quasinilpotent operator, then T + Q is an (∞,C)-isometry under suitable conditions. Moreover, we show that the class of (∞,C)-isometric operators is norm closed. Finally, we investigate properties of products and tensor products of (∞,C)-isometric operators.
AB - In this paper we study properties of (∞,C)-isometric operators. In particular, we prove that if T is an (∞,C)-isometry and Q is a quasinilpotent operator, then T + Q is an (∞,C)-isometry under suitable conditions. Moreover, we show that the class of (∞,C)-isometric operators is norm closed. Finally, we investigate properties of products and tensor products of (∞,C)-isometric operators.
KW - (∞,C)-isometric operator
KW - M-isometric operator
KW - Quasinilpotent operator
UR - http://www.scopus.com/inward/record.url?scp=85022320613&partnerID=8YFLogxK
U2 - 10.7153/oam-11-56
DO - 10.7153/oam-11-56
M3 - Article
AN - SCOPUS:85022320613
SN - 1846-3886
VL - 11
SP - 793
EP - 806
JO - Operators and Matrices
JF - Operators and Matrices
IS - 3
ER -