Abstract
We define and study the moduli d(x, , D) and i(x, ,D) related to monotonicity of a given function x of the space L0(Ω) of real-valued “measurable” functions defined on a linearly ordered set Ω. We extend the definitions to subsets X of L0(Ω), and we use the obtained quantities, d(X) and i(X), to estimate the Hausdorff measure of noncompactness γ(X) of X. Compactness criteria, in special cases, are obtained
| 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)
Cita questo
Caponetti, D., Trombetta, A., & Trombetta, G. (2017). Monotonicity and total boundednessin spaces of measurable functions. Mathematica Slovaca, 67, 1497-1508.