On weak uniform normal structure in weighted Orlicz sequence spaces |
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| Authors: | B. Zlatanov |
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| Affiliation: | Department of Mathematics and Informatics, Plovdiv University, 24 “Tzar Assen” street, Plovdiv 4000, Bulgaria |
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| Abstract: | It is proved that a weighted Orlicz sequence space ?M(w), equipped with Luxemburg or Amemiya norm has weak uniform normal structure iff ?M(w)≅hM(w) for wide class of weight sequences  . An example is constructed, where M has not Δ2-condition but by choosing a suitable weight sequence limn→∞wn=∞ we get that ?M(w) has weak uniform normal structure. |
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| Keywords: | Weighted Orlicz sequence space Luxemburg norm Amemiya norm Weak uniform normal structure Weakly convergent sequence coefficient |
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