Orlicz spaces of essentially bounded functions and Banach-Orlicz algebras
Copyright policy )Orlicz spaces of essentially bounded functions and Banach-Orlicz algebras
There are characterized all pairs [\(\Phi\),\(\mu\) ], where \(\Phi\) is a convex Orlicz function and \(\mu\) is a \(\sigma\)-finite, positive measure, for which \(L^{\Phi}(\mu)=L^{\infty}(\mu)\) and all these pairs that \(L^{\Phi}(\mu)\) are Banach quasi-algebras (or Banach algebras) under pointwise multiplication of functions. A characterization of Orlicz spaces that are F-algebras under pointwise multiplication of functions is given too.
pointwise multiplication, essentially bounded function, characterization of Orlicz spaces that are F-algebras under pointwise multiplication, Banach quasi-algebras, convex Orlicz function, characterization of Orlicz spaces that are F-algebras under, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
pointwise multiplication, essentially bounded function, characterization of Orlicz spaces that are F-algebras under pointwise multiplication, Banach quasi-algebras, convex Orlicz function, characterization of Orlicz spaces that are F-algebras under, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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