Points of nonsquareness of Lorentz spaces Γp,w
[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ P ] pracownik
2014
Rocznik: 2014 | Numer: 26 November 2014
artykuł naukowy
angielski
- points of nonsquareness
- Lorentz spaces of maximal functions
- local monotonicity structure of Banach lattices
- points of order continuity
EN Criteria for nonsquare points of the Lorentz spaces of maximal functions Γp,w are presented under an arbitrary (also degenerated) nonnegative weight function w. The criteria for nonsquareness of Lorentz spaces Γp,w and of their subspaces (Γp,w)a of all order continuous elements, proved directly in (Kolwicz and Panfil in Indag. Math. 24:254-263, 2013), are deduced.
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