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- W1990996900 abstract "Let fbe a real-valued function on C n, and consider the function f +(x) ≡ f(x+), where x+is the vector obtained by taking the absolute values of the components of x. The main purpose of this paper is to study the subadditivity and submultiplicativity properties of f +(when a multiplication in C nis defined). This is done under the assumption that fis quasimonotonic; that is, for xand yreal, 0 ≤ x ≤ y implies f(x) ≤ f(y), where 0 ≤ x ≤ y is construed componentwise. Throughout the paper, special attention is given to the case where fis a seminorm on C n. This leads to new seminorms f +that may have computational and other advantages over f" @default.
- W1990996900 created "2016-06-24" @default.
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- W1990996900 date "1990-04-01" @default.
- W1990996900 modified "2023-09-23" @default.
- W1990996900 title "Quasimonotonic functions on cnand the mappingf→f+" @default.
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- W1990996900 doi "https://doi.org/10.1080/03081089008817994" @default.
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