112
Views
9
CrossRef citations to date
0
Altmetric
Articles

On n-quasi-(m,C)-isometric operators

, &
Pages 1001-1020 | Received 05 Jul 2018, Accepted 10 Sep 2018, Published online: 25 Sep 2018

References

  • Agler J, Stankus M. m-isometric transformations of Hilbert space I. Integral Equ Operator Theory. 1995;21:383–429. doi: 10.1007/BF01222016
  • Ould Ahmed Mahmoud SA. Some properties of m-isometries and m-invertible operators on Banach spaces. Acta Math Sci Ser B Engl Ed. 2012;32:520–530.
  • Duggal BP, Müller V. Tensor product of left n-invertible operators. Stud Math. 2013;215:113–125. doi: 10.4064/sm215-2-2
  • Gu C. Structures of left n-invertible operators and their applications. Stud Math. 2015;226(3):189–211. doi: 10.4064/sm226-3-1
  • Garcia SR, Putinar M. Complex symmetric operators and applications. Trans Amer Math Soc. 2006;358:1285–1315. doi: 10.1090/S0002-9947-05-03742-6
  • Garcia SR, Prodan E, Putinar M. Mathematical and physical aspects of complex symmetric operators. J Phys A. 2014;47:353001. (54pp). doi: 10.1088/1751-8113/47/35/353001
  • Chō M, Ko E, Lee JE. On (m,C)-isometric operators. Complex Anal Oper Theory. 2016;10:1679–1694. doi: 10.1007/s11785-016-0549-0
  • Mecheri S, Prasad T. On n-quasi-m-isometric operators. Asian-Eur J Math. 2016;9:1650073. (8 pages). doi: 10.1142/S179355711650073X
  • Ahmadi MF. Powers of A-m-isometric operators and their supercyclicity. Bull Malaysian Math Sci Soc. 2016;39(3):901–911. doi: 10.1007/s40840-015-0201-6
  • Bermúdez T, Martinón A, Müller V. (m,q)-isometries on metric spaces. J Operator Theory. 2014;72(2):313–329. doi: 10.7900/jot.2013jan29.1996
  • Gu C. On (m,p)-expansive and (m,p)-contractive operators on Hilbert and Banach spaces. J Math Anal Appl. 2015;426:893–916. doi: 10.1016/j.jmaa.2015.01.067
  • Bayart F. m-isometries on Banach spaces. Math Nachr. 2011;284:2141–2147. doi: 10.1002/mana.200910029
  • Gu C. The (m;q)-isometric weighted shifts on lp spaces. Integral Equ Operator Theory. 2015;82:157–187. doi: 10.1007/s00020-015-2234-5
  • Campbell SL, Gupta BC. On k-quasihyponormal operators. Math Japonica. 1978;23:185–189.
  • Rosenblum MA. On the operator equation BX−XA=Q. Duke Math J. 1956;23:263–269. doi: 10.1215/S0012-7094-56-02324-9
  • Aiena P, Colasante ML, González M. Operators which have a closed quasi-nilpotent part. Proc Amer Math Soc. 2002;130:2701–2710. doi: 10.1090/S0002-9939-02-06386-4
  • Aiena P. Fredholm and local spectral theory with applications to multipliers. Dordrecht: Kluwer Academic Pub.; 2004.
  • Lange R, Wang S. New approaches in spectral decomposition. Providence: American Mathematics Society; 1992. (Contemporary Mathematics; 128).
  • Pearcy C. Some recent developments in operator theory. Providence: American Mathematics Society; 1978. (C.B.M.S. Regional conference series in mathematics; 36).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.