On subadditive functions
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- by Janusz Matkowski and Tadeusz Świątkowski PDF
- Proc. Amer. Math. Soc. 119 (1993), 187-197 Request permission
Abstract:
The main result says that every one-to-one subadditive function $f:(0,\infty ) \to (0,\infty )$ such that ${\lim _{t \to 0}}f(t) = 0$ must be continuous everywhere. A construction of a broad class of discontinuous subadditive bijections of $(0,\infty )$ which are bounded in every vicinity of $0$ is given. Moreover, a problem of extension of a subadditive function defined in $(0,\infty )$ to a subadditive even function in $\mathbb {R}$ is consideredReferences
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 187-197
- MSC: Primary 26A15; Secondary 39B72
- DOI: https://doi.org/10.1090/S0002-9939-1993-1176072-2
- MathSciNet review: 1176072