Distortion in the metric characterization of superreflexivity in terms of the infinite binary tree

DOI10.7153/mia-2022-25-26zbMath1498.46025OpenAlexW4285183090MaRDI QIDQ5078942

Sofiya Ostrovska

Publication date: 25 May 2022

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2022-25-26

zbMATH Keywords

logarithmic spiralsuperreflexive Banach spacetest spacedistortion of a bilipschitz embedding

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Lipschitz and coarse geometry of metric spaces (51F30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Elements of asymptotic geometry
• The metrical interpretation of superreflexivity in Banach spaces
• An introduction to the Ribe program
• Metric embeddings. Bilipschitz and coarse embeddings into Banach spaces
• Uniformly non-square Banach spaces
• Metrical characterization of super-reflexivity and linear type of Banach spaces
• Reflexivity and the girth of spheres
• Martingales in Banach Spaces
• Metric Characterizations of Some Classes of Banach Spaces
• Embeddability of locally finite metric spaces into Banach spaces is finitely determined
• Different forms of metric characterizations of classes of Banach spaces
• METRIC DIMENSION REDUCTION: A SNAPSHOT OF THE RIBE PROGRAM
• Coarse embeddability into Banach spaces
• DISTORTION IN THE FINITE DETERMINATION RESULT FOR EMBEDDINGS OF LOCALLY FINITE METRIC SPACES INTO BANACH SPACES
• On Type of Metric Spaces
• On J-Convexity and Some Ergodic Super-Properties of Banach Spaces
• Embeddings of proper metric spaces into Banach spaces
• Embeddings of locally finite metric spaces into Banach spaces

This page was built for publication: Distortion in the metric characterization of superreflexivity in terms of the infinite binary tree