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Two-dimensional real symmetric spaces with maximal projection constant

100%

Chalmers B. L., Lewicki G.

Annales Polonici Mathematici

2000

tom 73

nr 2

119-134

Let V be a two-dimensional real symmetric space with unit ball having 8n extreme points. Let λ(V) denote the absolute projection constant of V. We show that $λ(V) ≤ λ(V_n)$ where $V_n$ is the space whose ball is a regular 8n-polygon. Also we reprove a result of [1] and [5] which states that $4/π = λ(l₂^{(2)}) ≥ λ(V)$ for any two-dimensional real symmetric space V.

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Local structure of generalized Orlicz−Lorentz function spaces

75%

Kolwicz P.

Commentationes Mathematicae

2015

tom 55

nr 2

We study the local structure of a separated point $x$ in the generalized Orlicz-Lorentz space $\Lambda ^{\varphi }$ which is a symmetrization of the respective Musielak-Orlicz space $L^{\varphi }$. We present criteria for an $LM$ point and a $\mathit{UM}$ point, and sufficient conditions for a point of order continuity and an $\mathit{LLUM}$ point, in the space $\Lambda ^{\varphi }$. We prove also a characterization of strict monotonicity of the space $\Lambda ^{\varphi }$.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Commentationes Mathematicae

1 Chalmers B. L.

1 Kolwicz P.

1 Lewicki G.

1 2015

1 2000

Wyniki wyszukiwania

Two-dimensional real symmetric spaces with maximal projection constant

Local structure of generalized Orlicz−Lorentz function spaces