본문 바로가기
KERD
논문KCI 등재

On the N-supercyclicity of isometries on Banach spaces

Meysam Asadipour|Hamid Rezaei
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2024.12|한국수학논문집 (Korean Journal of Mathematics)|제32권 제4호|pp. 727-731

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

Supercyclic operatorsm-isometry
주제분류수학

초록

In this paper, we present a simple and self-contained proof that isometries are not $N$-supercyclic and $m$-isometries are not supercyclic, providing an alternative to the proof given by the authors in \cite{AnBo, FaHe, Bay}.

Abstract

In this paper, we present a simple and self-contained proof that isometries are not $N$-supercyclic and $m$-isometries are not supercyclic, providing an alternative to the proof given by the authors in \cite{AnBo, FaHe, Bay}.

참고문헌 (14)

  1. J. Agler, "m-isometric transformations of Hilbert space. I", Integral Equ. Oper. Theory, 21, pp.383~429 (1995)[DOI]
  2. J. Agler, "m-isometric transformations of Hilbert space. II", Integral Equ. Oper. Theory, 23, pp.1~48 (1995)[DOI]
  3. J. Agler, "m-isometric transformations of Hilbert space. III", Integral Equ. Oper. Theory, 24, pp.379~421 (1996)[DOI]
  4. S. I. Ansari, "Some properties of cyclic operators", Acta Sci. Math, 63, pp.195~207 (1997)
  5. F. Bayart, "m-isometries on Banach spaces", Math. Nachr, 284, pp.2141~2147 (2011)[DOI]
  6. F. Bayart, "Dynamics of Linear Operators" (2009), Cambridge Univ. Press
  7. Gh. Baseri, "On the balanced convex hull of operator's orbit", Iran J. Sci. Technol. Trans. Sci, 46, pp.659~665 (2022)[DOI]
  8. T. Bermudez, "On the orbit of an m-isometry", Integral Equ. Oper. Theory, 64(4), pp.487~494 (2009)[DOI]
  9. P. S. Bourdon, "Some properties of n-supercyclic operators", Stud. Math, 165, pp.135~157 (2004)
  10. N. S. Feldman, "N-supercyclic operators", Stud. Math, 151, pp.141~159 (2002)[DOI]
  11. M. Faghih-Ahmadi, "Hypercyclicity and supercyclicity of m-isometric opera-tors", Rocky Mountain J. Math, 42(1), pp.15~31 (2012)[DOI]
  12. R. Godement, "Theoremes Tauberiens et theorie spectrale", Ann. Sci. Ecole Norm. Sup, 64(3), pp.119~138 (1947)[DOI]
  13. K. G. Grosse-Erdmann, "Linear Chaos" (2011), Springer
  14. L. Kerchy, "Hyperinvariant subspaces of operators with non-vanishing orbits", Proc. Am. Math. Soc, 127, pp.1363~1370 (1999)[DOI]

관련 논문AI추천

Supercyclicity of ℓp-spherical and toral isometries on Banach spacesBahram Khani-Robati, Karim Hedayatian, Mohammad Ansari대한수학회 · 대한수학회논문집2017 · 제32권 제3호Strong hypercyclicity of Banach space operatorsBahram Khani-Robati, Karim Hedayatian, Mohammad Ansari대한수학회 · 대한수학회지2021 · 제58권 제1호SUPERCYCLICITY OF JOINT ISOMETRIESAbbas Moradi, Bahram Khani-Robati, Karim Hedayatian, Mohammad Ansari대한수학회 · 대한수학회보2015 · 제52권 제5호Supercyclicity of Convex OperatorsKarim Hedayatian, Lotfollah Karimi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제1호On subspace-supercyclic semigroupAbdelaziz Tajmouati, Mohammed El Berrag대한수학회 · 대한수학회논문집2018 · 제33권 제1호Ces\`{a}ro-hypercyclic and hypercyclic operatorsAbdelaziz Tajmouati, Mohammed El Berrag대한수학회 · 대한수학회논문집2019 · 제34권 제2호

이 간행물의 다른 논문 (18건)

ON CLASSES OF INDEFINITE β-KENMOTSU STATISTICAL MANIFOLDJasleen Kaur Virdi, Shagun Bhattipp. 593-614Fixed point in Banach *-algebras with an application to functional integral equation of fractional orderGoutam Das, Nilakshi Goswamipp. 615-628A note on four dimensional summability methodsMedine Yesilkayagil Savascıpp. 629-637Egodic shadowable points and uniform limits이현희, 구남집pp. 639-646A new study on Simpson's type inequalities via generalized convexity with applicationMaimoona Karim, Ather Qayyum, Aliya Fahmi, Siti Suzlin Supadipp. 647-659
원문 보기