Linearization of isometric embedding on Banach spaces

• Autorzy: Yu Zhou , Zihou Zhang , Chunyan Liu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B04: Isometric theory of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2015
• Tom: 230
• Numer: 1
• Strony: 31-39

Daty

wydano

2015

Twórcy

autor

Yu Zhou

• College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai, 201620, China

autor

Zihou Zhang

• College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai, 201620, China

autor

Chunyan Liu

• College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai, 201620, China

Identyfikatory

DOI

10.4064/sm8036-12-2015