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Jung constants of Orlicz sequence spaces

Tao Zhang — 2003

Annales Polonici Mathematici

Estimation of the Jung constants of Orlicz sequence spaces equipped with either the Luxemburg norm or the Orlicz norm is given. The exact values of the Jung constants of a class of reflexive Orlicz sequence spaces are found by using new quantitative indices for 𝓝-functions.

The Existence Of P≥3-Factor Covered Graphs

Sizhong ZhouJiancheng WuTao Zhang — 2017

Discussiones Mathematicae Graph Theory

A spanning subgraph F of a graph G is called a P≥3-factor of G if every component of F is a path of order at least 3. A graph G is called a P≥3-factor covered graph if G has a P≥3-factor including e for any e ∈ E(G). In this paper, we obtain three sufficient conditions for graphs to be P≥3-factor covered graphs. Furthermore, it is shown that the results are sharp.

On some geometric properties of certain Köthe sequence spaces

Yunan CuiHenryk HudzikTao Zhang — 1999

Mathematica Bohemica

It is proved that if a Kothe sequence space X is monotone complete and has the weakly convergent sequence coefficient WCS ( X ) > 1 , then X is order continuous. It is shown that a weakly sequentially complete Kothe sequence space X is compactly locally uniformly rotund if and only if the norm in X is equi-absolutely continuous. The dual of the product space ( i = 1 X i ) Φ of a sequence of Banach spaces ( X i ) i = 1 , which is built by using an Orlicz function Φ satisfying the Δ 2 -condition, is computed isometrically (i.e. the exact...

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