Some Remarks on Orlicz‐Lorentz Spaces
Copyright policy )Some Remarks on Orlicz‐Lorentz Spaces
AbstractSpaces of Lorentz type called Orlicz‐Lorentz spaces are studied. There are given necessary and sufficient conditions for the spaces to be order continuous, separable, KB‐spaces and to contain isometric or isomorphic copy of l∞ or c0. Moreover a criterion for strict convexity of these spaces is found.
- Polish Academy of Sciences Poland
- Adam Mickiewicz University in Poznań Poland
- Institute of Mathematics Poland
Banach lattices, order continuous, \(KB\)-spaces, separable, Classical Banach spaces in the general theory, contain isometric or isomorphic copy of \(\ell^ \infty\) or \(c_ 0\), Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Orlicz-Lorentz spaces, strict convexity
Banach lattices, order continuous, \(KB\)-spaces, separable, Classical Banach spaces in the general theory, contain isometric or isomorphic copy of \(\ell^ \infty\) or \(c_ 0\), Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Orlicz-Lorentz spaces, strict convexity
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