SEMINORM PADA RUANG FUNGSI TERINTEGRAL DUNFORD
نویسندگان
چکیده
منابع مشابه
Dunford - Pettis Operators 3
If all bounded linear operators from L 1 into a Banach space X are Dunford-Pettis (i.e. carry weakly convergent sequences onto norm convergent sequences), then we say that X has the complete continuity property (CCP). The CCP is a weakening of the Radon-Nikod ym property (RNP). Basic results of Bourgain and Talagrand began to suggest the possibility that the CCP, like the RNP, can be realized a...
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متن کاملThe Dunford-pettis Property on Tensor Products
We show that, in some cases, the projective and the injective tensor products of two Banach spaces do not have the Dunford-Pettis property (DPP). As a consequence, we obtain that (c0⊗̂πc0)∗∗ fails the DPP. Since (c0⊗̂πc0)∗ does enjoy it, this provides a new space with the DPP whose dual fails to have it. We also prove that, if E and F are L1-spaces, then E⊗̂ǫF has the DPP if and only if both E and...
متن کاملBanach lattices with weak Dunford-Pettis property
We introduce and study the class of weak almost Dunford-Pettis operators. As an application, we characterize Banach lattices with the weak Dunford-Pettis property. Also, we establish some sufficient conditions for which each weak almost Dunford-Pettis operator is weak Dunford-Pettis. Finally, we derive some interesting results. Keywords—eak almost Dunford-Pettis operator, almost DunfordPettis o...
متن کاملDunford-pettis Sets in Banach Lattices
We study the class of Dunford-Pettis sets in Banach lattices. In particular, we establish some sufficient conditions for which a Dunford-Pettis set is relatively weakly compact (resp. relatively compact).
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ژورنال
عنوان ژورنال: Journal of Fundamental Mathematics and Applications (JFMA)
سال: 2019
ISSN: 2621-6035,2621-6019
DOI: 10.14710/jfma.v2i1.30