On (m, C)-Isometric Operators

Research paper by Muneo Chō, Eungil Ko, Ji Eun Lee

Indexed on: 05 Apr '16Published on: 04 Apr '16Published in: Complex Analysis and Operator Theory


In this paper we study the spectral properties of (m, C)-isometric operators. In particular, if \(T\in \mathcal{{L(H)}}\) 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.