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- W4313395769 abstract "In this work, we present the notion of a weakly symmetric function. We show that the subset of all weakly symmetric elements of an arbitrary vector space of functions is a vector space itself. Moreover, the subset of all weakly symmetric elements of some algebra of functions is an algebra. Also we consider weakly symmetric functions on the complex Banach space $L_p[0,1]$ of all Lebesgue measurable complex-valued functions on $[0,1]$ for which the $p$th power of the absolute value is Lebesgue integrable. We show that every continuous linear functional on $L_p[0,1],$ where $pin (1,+infty),$ can be approximated by weakly symmetric continuous linear functionals." @default.
- W4313395769 created "2023-01-06" @default.
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- W4313395769 date "2022-12-30" @default.
- W4313395769 modified "2023-10-10" @default.
- W4313395769 title "Weakly symmetric functions on spaces of Lebesgue integrable functions" @default.
- W4313395769 doi "https://doi.org/10.15330/cmp.14.2.437-441" @default.
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