On the weak compactness of families of quasimeasures. On the interrelationship between metric and measure
β Scribed by V. N. Aleksyuk
- Book ID
- 112451052
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1971
- Tongue
- English
- Weight
- 1019 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0037-4466
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π SIMILAR VOLUMES
We estimate the ideal measure of certain interpolated operators in terms of the measure of their restrictions to the intersection. The dual situation is also studied. Special attention is paid to the ideal of weakly compact operators. 1991 Mathematics Subject Classajication. 46B70, 46M35. Keywords
In this paper, on the Sugeno's fuzzy measures space, we ΓΏrst put forward the concepts of the weak convergence and the metric of fuzzy measures. And then, an equivalent condition on the weak convergence of sequences of fuzzy measure are given. Finally, in the sense of this metric, we obtain that the