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- W3035014769 abstract "Abstract Starting from the inequality $$begin{aligned} |f(x+y)-f(x)-f(y)+g(x+y)-g(x)g(y)|leqslant varepsilon , quad x,yin S, end{aligned}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mtable> <mml:mtr> <mml:mtd> <mml:mrow> <mml:mo>|</mml:mo> <mml:mi>f</mml:mi> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>+</mml:mo> <mml:mi>y</mml:mi> <mml:mo>)</mml:mo> <mml:mo>-</mml:mo> <mml:mi>f</mml:mi> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>)</mml:mo> <mml:mo>-</mml:mo> <mml:mi>f</mml:mi> <mml:mo>(</mml:mo> <mml:mi>y</mml:mi> <mml:mo>)</mml:mo> <mml:mo>+</mml:mo> <mml:mi>g</mml:mi> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>+</mml:mo> <mml:mi>y</mml:mi> <mml:mo>)</mml:mo> <mml:mo>-</mml:mo> <mml:mi>g</mml:mi> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>)</mml:mo> <mml:mi>g</mml:mi> <mml:mo>(</mml:mo> <mml:mi>y</mml:mi> <mml:mo>)</mml:mo> <mml:mo>|</mml:mo> <mml:mo>⩽</mml:mo> <mml:mi>ε</mml:mi> <mml:mo>,</mml:mo> <mml:mspace /> <mml:mi>x</mml:mi> <mml:mo>,</mml:mo> <mml:mi>y</mml:mi> <mml:mo>∈</mml:mo> <mml:mi>S</mml:mi> <mml:mo>,</mml:mo> </mml:mrow> </mml:mtd> </mml:mtr> </mml:mtable> </mml:mrow> </mml:math> where f is a complex valued function defined on a monoid S , we deal with two problems: the stability problem and the problem of alienation of the approximate additivity condition from the condition of approximate exponentiality." @default.
- W3035014769 created "2020-06-19" @default.
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- W3035014769 date "2020-06-08" @default.
- W3035014769 modified "2023-09-24" @default.
- W3035014769 title "Alienation and the Stability Problem" @default.
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- W3035014769 doi "https://doi.org/10.1007/s00025-020-01216-1" @default.
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