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- W2883080675 abstract "A bounded linear operator $T$ on a Banach space $X$ is $J$-reflexive if every bounded operator on $X$ that leaves invariant the sets $J(T,x)$ for all $x$ is contained in the closure of $orb(T)$ in the strong operator topology. We discuss some properties of $J$-reflexive operators. We also give and prove some necessary and sufficient conditions under which an operator is $J$-reflexive. We show that isomorphisms preserve $J$-reflexivity and some examples are considered. Finally, we extend the $J$-reflexive property in terms of subsets." @default.
- W2883080675 created "2018-08-03" @default.
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- W2883080675 date "2018-07-24" @default.
- W2883080675 modified "2023-09-26" @default.
- W2883080675 title "On the J -reflexive operators" @default.
- W2883080675 doi "https://doi.org/10.3906/mat-1707-9" @default.
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