Abstract
| Lingua originale | English |
|---|---|
| pagine (da-a) | 1497-1508 |
| Numero di pagine | 12 |
| Rivista | Mathematica Slovaca |
| Volume | 67 |
| Stato di pubblicazione | Published - 2017 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Monotonicity and total boundednessin spaces of measurable functions. / Caponetti, Diana; Trombetta, Alessandro; Trombetta, Giulio.
In: Mathematica Slovaca, Vol. 67, 2017, pag. 1497-1508.Risultato della ricerca: Article
}
TY - JOUR
T1 - Monotonicity and total boundednessin spaces of measurable functions
AU - Caponetti, Diana
AU - Trombetta, Alessandro
AU - Trombetta, Giulio
PY - 2017
Y1 - 2017
N2 - We define and study the moduli $d(x, A, D)$ and $i(x,A,D)$ related to monotonicity of a given function $x$ of the space $L_0(\Omega)$ of real-valued ``measurable'' functions defined on a linearly ordered set $\Omega$. We extend the definitions to subsets $X$ of $L_0(\Omega)$, and we use the obtained quantities, $d(X)$ and $i(X)$, to estimate the Hausdorff measure of noncompactness $\gamma(X)$ of $X$. Compactness criteria, in special cases, are obtained.
AB - We define and study the moduli $d(x, A, D)$ and $i(x,A,D)$ related to monotonicity of a given function $x$ of the space $L_0(\Omega)$ of real-valued ``measurable'' functions defined on a linearly ordered set $\Omega$. We extend the definitions to subsets $X$ of $L_0(\Omega)$, and we use the obtained quantities, $d(X)$ and $i(X)$, to estimate the Hausdorff measure of noncompactness $\gamma(X)$ of $X$. Compactness criteria, in special cases, are obtained.
UR - http://hdl.handle.net/10447/254096
UR - https://www.degruyter.com/view/j/ms.2017.67.issue-6/ms-2017-0065/ms-2017-0065.xml
M3 - Article
VL - 67
SP - 1497
EP - 1508
JO - Mathematica Slovaca
JF - Mathematica Slovaca
SN - 0139-9918
ER -