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The notion of hypercyclicity was localized by $J$-sets and in this paper, we will investigate for an equivalent condition through the use of open sets. Also, we will give a $ J$-class criterion, that gives conditions under which an operator belongs to the $J$-class of operators.
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참고문헌 (21)
참고문헌 신청
S. I. Ansari / 1995 / Hypercyclic and cyclic vectors / J. Funct. Anal 128(2):374~383
M. R. Azimi / 2011 / A note on J-sets of linear operators / Rev. R. Acad. Cienc. Exactas Fꠕs. Nat. Ser. A Math. RACSAM 105(2):449~453
F. Bayart / 2009 / Dynamics of linear operators / Cambridge University Press
N. P. Bhatia / 1970 / Stability theory of dynamical systems / Springer-Verlag
G. D. Birkho / 1922 / Surface transformations and their dynamical applications / Acta Math 43(1):1~119
M. R. Azimi / 2011 / A note on J-sets of linear operators / Rev. R. Acad. Cienc. Exactas Fꠕs. Nat. Ser. A Math. RACSAM 105(2):449~453
F. Bayart / 2009 / Dynamics of linear operators / Cambridge University Press
N. P. Bhatia / 1970 / Stability theory of dynamical systems / Springer-Verlag
G. D. Birkho / 1922 / Surface transformations and their dynamical applications / Acta Math 43(1):1~119
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