Norm-attaining operators into Lorentz sequence spaces
2009 ◽
Vol 139
(2)
◽
pp. 225-235
◽
Keyword(s):
We prove that the Lorentz sequence spaces do not have the property B of Lindenstrauss. In fact, for any admissible sequences w, v ∈ c0 \ l1, the set of norm-attaining operators from the Orlicz space hϕ(w) (ϕ is a certain Orlicz function) into d(v, 1) is not dense in the corresponding space of operators. We also characterize the spaces such that the subset of norm-attaining operators from the Marcinkiewicz sequence space into its dual is dense in the space of all bounded and linear operators between them.
2013 ◽
Vol 31
(2)
◽
pp. 55
◽
2008 ◽
Vol 2008
◽
pp. 1-6
2014 ◽
Vol 33
(1)
◽
pp. 67
◽
Keyword(s):
Keyword(s):
1995 ◽
Vol 18
(2)
◽
pp. 341-356
◽