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Strongly exposed points in Musielak-Orlicz sequence spaces endowed with Orlicz norm

100%

Shi Z., Liu C.

Banach Center Publications

2011

tom 92

nr 1

327-338

A criterion for strongly exposed points of the unit ball $B(l_{M})$ in Musielak-Orlicz sequence spaces $l_{M}$ equipped with Orlicz norm is given.

Linearization of isometric embedding on Banach spaces

81%

Zhou Y., Zhang Z., Liu C.

Studia Mathematica

2015

tom 230

nr 1

31-39

Let X,Y be Banach spaces, f: X → Y be an isometry with f(0) = 0, and $T: \overline{span}(f(X)) → X$ be the Figiel operator with $T ∘ f = Id_{X}$ and ||T|| = 1. We present a sufficient and necessary condition for the Figiel operator T to admit a linear isometric right inverse. We also prove that such a right inverse exists when $\overline{span}(f(X))$ is weakly nearly strictly convex.

Ograniczanie wyników

1 Banach Center Publications

1 Studia Mathematica

2 Liu C.

1 Shi Z.

1 Zhang Z.

1 Zhou Y.

1 2015

1 2011

Wyniki wyszukiwania

Strongly exposed points in Musielak-Orlicz sequence spaces endowed with Orlicz norm

Linearization of isometric embedding on Banach spaces