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http://hdl.handle.net/1942/17892| Title: | Characterizations of nuclearity in Fréchet spaces | Authors: | EGGHE, Leo | Issue Date: | 1980 | Publisher: | ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS | Source: | JOURNAL OF FUNCTIONAL ANALYSIS, 35 (2), p. 207-214 | Abstract: | We extend the result of A. Bellow (Proc. Nat. Acad. Sci. USA 73, No. 6 ( 1976), 1798-l 799) on the characterization of finite-dimensional Banach spaces, to a characterization of nuclearity for FrCchet spaces. Those spaces are nuclear iff every Pettis-bounded and Pettis-uniformly integrable amart is mean convergent. Several other characterizations are given. | Notes: | EGGHE, L (reprint author), LIMBURGS UNIV CENTRUM,B-3610 DIEPENBEEK,BELGIUM. | Document URI: | http://hdl.handle.net/1942/17892 | ISSN: | 0022-1236 | e-ISSN: | 1096-0783 | DOI: | 10.1016/0022-1236(80)90005-1 | ISI #: | A1980JK91800005 | Category: | A1 | Type: | Journal Contribution |
| Appears in Collections: | Research publications |
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| File | Description | Size | Format | |
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| egghe 4.pdf | Published version | 316.41 kB | Adobe PDF | View/Open |
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