On \(\alpha\)-Šerstnev probabilistic normed spaces. (English) Zbl 1273.54028
Summary: In this article, the condition \(\alpha\)-Š is defined for \(\alpha \in ]0, 1[\cup]1, +\infty [\) and several classes of \(\alpha\)-Šerstnev PN spaces, the relationship between \(\alpha\)-simple PN spaces and \(\alpha\)-Šerstnev PN spaces and a study of PN spaces of linear operators which are \(\alpha\)-Šerstnev PN spaces are given.
References:
| [1] | doi:10.1007/BF01834000 · Zbl 0792.46062 · doi:10.1007/BF01834000 |
| [2] | doi:10.1007/s00010-008-2936-8 · Zbl 1162.54013 · doi:10.1007/s00010-008-2936-8 |
| [3] | doi:10.1007/s00010-010-0038-x · Zbl 1213.39031 · doi:10.1007/s00010-010-0038-x |
| [4] | doi:10.1007/BF02829810 · Zbl 1096.46048 · doi:10.1007/BF02829810 |
| [5] | doi:10.1006/jmaa.1997.5333 · Zbl 0903.46075 · doi:10.1006/jmaa.1997.5333 |
| [6] | doi:10.1016/j.na.2009.12.037 · Zbl 1196.54054 · doi:10.1016/j.na.2009.12.037 |
| [7] | doi:10.1007/BF02192676 · Zbl 0598.26032 · doi:10.1007/BF02192676 |
| [8] | doi:10.1007/s00010-007-2915-5 · Zbl 1148.26016 · doi:10.1007/s00010-007-2915-5 |
| [9] | doi:10.1155/S0161171295000822 · Zbl 0855.54042 · doi:10.1155/S0161171295000822 |
| [10] | doi:10.1016/j.na.2009.02.124 · Zbl 1179.54047 · doi:10.1016/j.na.2009.02.124 |
| [11] | doi:10.1006/jmaa.1997.5810 · Zbl 0922.47068 · doi:10.1006/jmaa.1997.5810 |
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