Complex rotundity of Musielak--Orlicz function spaces equipped with the Orlicz norm
Copyright policy )Complex rotundity of Musielak--Orlicz function spaces equipped with the Orlicz norm
The authors study some aspects of the geometric theory of Musielak--Orlicz spaces. They prove in Musielak--Orlicz function spaces \(L^0_M\) equipped with the Orlicz norm some criteria for complex extreme points, complex local uniform rotundity, complex uniform rotundity and complex rotundity.
Geometry and structure of normed linear spaces, complex locally uniformity rotund points, complex rotundity, complex uniform rotundity, \(\Delta_2\)-condition, Orlicz norm, complex local uniform rotundity, Musielak--Orlicz space, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Geometry and structure of normed linear spaces, complex locally uniformity rotund points, complex rotundity, complex uniform rotundity, \(\Delta_2\)-condition, Orlicz norm, complex local uniform rotundity, Musielak--Orlicz space, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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