دورية
Convergences for Sequences of Sets and Linear Mappings
| العنوان: | Convergences for Sequences of Sets and Linear Mappings |
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| المؤلفون: | Sonntag, Y., Zalinescu, C. |
| المصدر: | Journal of Mathematical Analysis and Applications; December 1, 1994, Vol. 188 Issue: 2 p616-640, 25p |
| مستخلص: | Let E, F be normed vector spaces and let A, An be continuous linear operators from E into F. Consider X, Xn [Y, Yn] arbitrary nonempty closed subsets of E [F]. We study the problem: if X = lim Xn [Y = lim Yn] in the sense of Kuratowski (or Mosco, or Attouch-Wets), do we have A(X) = lim A(Xn) [A−1(Y) = lim A−1n(Yn)] in the same sense ? In solving this problem we improve recent results obtained by I. Schochetman and R. Smith and published in this journal, and extend some results of G. Beer established for the case F = ℝ.Copyright 1994, 1999 Academic Press, Inc. |
| قاعدة البيانات: | Supplemental Index |
Full Text Finder | تدمد: | 0022247X 10960813 |
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| DOI: | 10.1006/jmaa.1994.1449 |