Displaying similar documents to “Extreme compact operators from Orlicz spaces to C ( Ω )

Riesz angles of Orlicz sequence spaces

Ya Qiang Yan (2002)

Commentationes Mathematicae Universitatis Carolinae

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We introduce some practical calculation of the Riesz angles in Orlicz sequence spaces equipped with Luxemburg norm and Orlicz norm. For an N -function Φ ( u ) whose index function is monotonous, the exact value a ( l ( Φ ) ) of the Orlicz sequence space with Luxemburg norm is a ( l ( Φ ) ) = 2 1 C Φ 0 or a ( l ( Φ ) ) = Φ - 1 ( 1 ) Φ - 1 ( 1 2 ) . The Riesz angles of Orlicz space l Φ with Orlicz norm has the estimation max ( 2 β Ψ 0 , 2 β Ψ ' ) a ( l Φ ) 2 θ Φ 0 .

A β -normal Tychonoff space which is not normal

Eva Murtinová (2002)

Commentationes Mathematicae Universitatis Carolinae

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α -normality and β -normality are properties generalizing normality of topological spaces. They consist in separating dense subsets of closed disjoint sets. We construct an example of a Tychonoff β -normal non-normal space and an example of a Hausdorff α -normal non-regular space.