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- W2964759480 abstract "An operator $T $ from a vector lattice $E$ into a normed lattice $F$ is called unbounded $sigma$-order-to-norm continuous whenever $x_{n}xrightarrow{uo}0$ implies $| Tx_{n}|rightarrow 0$, for each sequence $(x_{n})_nsubseteq E$. For a net $(x_{alpha})_{alpha}subseteq E$, if $x_{alpha}xrightarrow{un}0$ implies $Tx_{alpha}xrightarrow{un}0$, then $T$ is called an unbounded norm continuous operator. In this manuscript, we study some properties of these classes of operators and their relationships with the other classes of operators." @default.
- W2964759480 created "2019-08-13" @default.
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- W2964759480 date "2019-08-08" @default.
- W2964759480 modified "2023-09-27" @default.
- W2964759480 title "Unbounded $sigma$-order-to-norm continuous and $un$-continuous operators" @default.
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