Ideal properties of regular operators between Banach lattices
نویسندگان
چکیده
منابع مشابه
Ideal Properties of Regular Operators between Banach Lati ’ Ices
Suppose E and F are Banach lattices such that E* and F have order-continuous norms. In [4] Dodds and Fremlin (cf. also [1]) showed that if T: E F is a positive compact operator and 0 < S < T then S is also compact. Aliprantis and Burkinshaw [1] showed by examples that the hypotheses on E and F are necessary. In [2] they asked whether a similar result is true for Dunford-Pettis operators, under ...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1985
ISSN: 0019-2082
DOI: 10.1215/ijm/1256045630