References
- Agler J, Stankus M. m-isometric transformations of Hilbert space I. Integr Equ Oper Theory. 1995;21(4):383–429.
- Agler J, Stankus M. m-isometric transformations of Hilbert space II. Integr Equ Oper Theory. 1995;23(1):1–48.
- Agler J, Stankus M. m-isometric transformations of Hilbert space III. Integr Equ Oper Theory. 1996;24(4):379–421.
- Bayart F. m-isometries on Banach spaces. Math Nachr. 2011;284(17–18):2141–2147.
- Bermúdez T, Martinón A, Noda JN. Products of m-isometries. Lin Alg Appl. 2013;438(1):80–86.
- Gu C. The (m,q)-isometric weighted shifts on lp spaces. Integr Equ Oper Theory. 2015;82(2):157–187.
- Hoffman P, Mackey M, Ó Searcóid M. On the second parameter of an (m;p)-isometry. Integr Equ Oper Theory. 2011;71(3):389–405.
- Hoffmann PHW, Mackey M. (m,p)-isometric and (m,∞)-isometric operator tuples on normed spaces. Asian-Eur J Math. 2015;08(02): Article ID 1550022.
- Agler J. Hypercontractions and subnormality. J Oper Theory. 1985;13:203–217.
- Exner G, Jung IB, Li C. On k-hyperexpansive operators. J Math Anal Appl. 2006;323(1):569–582.
- Exner G, Jung IB, Park SS. On n-contractive and n-hypercontractive operators, II. Integr Equ Oper Theory. 2008;60(4):451–467.
- Exner G. On n-contractive and n-hypercontractive operators. Integr Equ Oper Theory. 2006;56(4):451–468.
- Gu C. On (m,p)-expansive and (m,p)-contractive operators on Hilbert and Banach spaces.J Math Anal Appl. 2015;426(2):893–916.
- Jung S, Kim Y, Ko E, et al. On (A,m)-expansive operators. Studia Math. 2012;213(1):3–23.
- Olofsson A. An operator-valued berezin transformand the class of n-hypercontractions. Integr Equ Oper Theory. 2007;58(4):503–549.
- Mahmoud Sid Ahmed OA. On A(m,p)-expansive and A(m,p)-hyperexpansive operators on Banach spaces-I. Aljouf Sci Eng J. 2014;1(1):23–43.
- Mahmoud Sid Ahmed OA. On A(m,p)-expansive and A(m,p)-hyperexpansive operators on Banach spaces-II. J Math Comput Sci. 2015;5:123–148.
- Mahmoud Sid Ahmed OA. On (m,p)-hyperexpansive mappings in metric spaces. Note Mat. 2015;35:17–37.
- Mahmoud Sid Ahmed OA. On (m,p)-(hyper)expansive and (m,p)-(hyper)contractive mappings on a metric space. J Inequal Spec F. 2016;7:73–87.
- Suciu L. Operators with expansive m-isometric liftings. Monatsh Fur Math. 2022;198:165–187. doi: 10.1007/s00605-021-01648-z
- Moktar OBE, Guessaba M, Mahmoud Sid Ahmed OA. n-quasi-( A,m)-isometrics operators on a Hilbert space. Bull Math Anal Appl. 2020;12:8–26.
- Mahmoud Sid Ahmed OA, Chō M, Lee J. On n-quasi- (m,C)-isometric operators. Linear Multilinear Algebra. 2020;68(5):1001–1020.
- Mahmoud Sid Ahmed OA, Saddi A, Gherairi K. Some results on higher orders quasi-isometries. Hacet J Math Stat. 2020;49:1315–1333.
- Mecheri S, Mahmoud Sid Ahmed OA. Classes of operators related to m-isometric operators. Oper Matrices. 2020;14:145–157.
- Mecheri S, Patel SM. On quasi-2-isometric operators. Linear Multilinear Algebra. 2018;66(5):1019–1025.
- Mecheri S, Prasad T. On n-quasi-m-isometric operators. Asian-Eur J Math. 2016;09(04): Article ID 1650073.
- Zuo F, Mecheri S. A class of operators related to m-symmetric operators. Turk J Math. 2021;45(3):1300–1309.
- Rosenblum MA. On the operator equation BX−XA = Q. Duke Math J. 1956;23(2):263–269.
- Laursen KB, Neumann MM. Introduction to local spectral theory. Oxford: Clarendon Press; 2000.
- Karimi L, Ahmadi MF, Hedayatan K. Some properties of concave operators. Turk J Math. 2016;40:1211–1220.
- Bermúdez T, Martinón A, Müller V. (m,q)-isometries on metric spaces. Integr Equ Oper Theory. 2014;72:313–329.
- Kim Y, Ko E, Lee JE. Operators with single valued extension property. Bull Korean Math Soc. 2006;43(3):509–517.